[Purple Snit]

If you make the assumption, for game purposes, that the Gods are real, then one should also presume that their stories are a watered-down version of those they represent. The challenges and morals of the tales were written by mortals, to make some point or teach some lesson to other mortals, in a way that can be understood by those mortals. If overcoming problems simply requires human-level intelligence, that makes for a useful lesson; if you need inhuman powers of perception and deduction, how can anyone hope to gain anything useful from the story? How humans perceive their Gods is intrinsically limited to the needs and vision of those who are telling the tales. For purposes of your game, they can have any stats you like, or simply be nigh-omnipotent off-camera entities who cannot be statted out at all. It's all a matter of personal preference and campaign needs.