Some are logically impossible, since they are described in mutually exclusive terms like a married bachelor. A perfect god that makes mistakes, regrets them, and attempts to correct them is analogous to the married bachelor. The God of the Christian Bible has been ruled out by the evidence supporting the theory of evolution. Notice that I don't need to claim that the theory is correct for that to be the case. Even if it is wrong, even if it is someday falsified, the honest creator god of the Bible is no longer possible. We'd need to postulate a deceptive intelligent designer, and would even go so far as to say that we would have proved that by falsifying the theory. Of course, even that is unlikely to be a god. According to Occam's parsimony principle, a race of superhuman extraterrestrials is still more likely than a sentient universe maker (a god).
Then they don't know, although I don't know how you could not know what a prophecy is. I mentioned them because people claim that some gods do those things perform miracles, leave revelation, come to earth, answer prayers, etc. - what I have called an interventionalist god Such people apparently think they know when a miracle has occurred, although I would argue that they couldn't even if they witnessed what appeared to be a bona fide suspension of the known laws of nature (magic). You've probably seen Clarke's comment about sufficiently advanced technology being indistinguishable from magic. You know how easy it would be to convince unsophisticated people that one possessed godlike magic.
None of theology is difficult to understand. It's only difficult to believe - impossible if one is a strict empiricist.
I was a Christian during the seventies. I devoted thousands of hours to Bible study, prayer, and church fellowship. I gave thousands in tithes. Then, I left Christianity, returned to university, and redirected my time and attention to reading other books and studying guitar following graduation. It was shortly after my exodus from Christianity that I changed from reading the Bible to buying up books on philosophy, history, quantum science, evolution, earth science, cosmology, and the works of authors such as Alan Watts, Terence McKenna, and Andrew Weil. This is when I read Cantor and Godel. It's when I began listening to the Grateful Dead in earnest. It's also when I began devoting thousands of hours to practicing electric guitar, and later, playing in bands with my wife. None of these were happening in my church days.
Here I am decades later with a head full of a liberal education rather than theology, and with a lifetime of travelling, collecting art, performing live music (hundreds of times), and attending concerts. We especially enjoyed Grateful Dead weekends in Oakland or Phoenix, where we'd fly, get a hotel, see three shows, enjoy some restaurants and sights, and be home for work Monday - things zealous Christians don't do. For one thing, they generally have children if they are fertile or can adopt. They don't have the time or money for such a life and would be frowned upon by their church peers if they tried to live it.
And I saved several hundred thousand in tithes that I certainly would have spent on preachers and churches, which is especially helpful in these economically uncertain times. I think I rescued my life leaving religion.
How much is being a competent critical thinker worth, one of the benefits of switching from faith-based thought to strict empiricism? How many died of Covid because they were convinced that belief by faith was virtue and refused a vaccine? What's it worth to have a head full of ideas that provide endless hours of interesting conversation and contemplation? We have to live in our heads, so shouldn't that be an interesting place to be, not one filled with biblical verses? How much more valuable is it to live as a sovereign citizen of the universe than a subject of a god? How much more valuable is humanistic spirituality than the Abrahamic version, which does violence to the sine qua non of authentic spiritual experience, and which is characterized by a sense of connection and belonging to our world - not a desire to leave it for something better?
This is an excellent description of an authentic spiritual experience made possible by atheism (but also by Dharmic and pagan polytheistic religions). Listening to the first five minutes is enough to get the gist of it all. See if you can sense the sense of connectivity and belonging this man felt, combined with awe, gratitude, and a profound sense of mystery all without gods - spirituality without spirits - which only became possible when he put his distracting religious ideas to bed and chose a direct, unmediated relationship with the cosmos over one with gods inserted as objects of worship: