One way that artist distinguish extraordinary beings is by giving them a composite body with multiple animal parts. An example of this would be the art work of Palette of King Narmer. In this piece the pharaoh at one point is depicted with the head of a bull. This alludes to his might and power. The pharaoh is considered a god and so the bull head is just one way the artist chose to depict him as powerful. Another example of this would be the Last Judgement of Hunefer, from his tomb. In this piece the gods are depicted with another animal's head. This signifies their superior supernatural status. Lastly but not the least would be the high officials in Africa that wear the elephant mask.
Another way that artist depict extraordinary beings is by having more pronounced body parts. An example of this would be the Statues of votive figures, from the Square Temple at Eshnunna. In these statues there are a couple of pronounced features and one of them is the bulging eyes that illustrate that the deity is all seeing and omnipresent. Another example would be the Venus woman statue. This depicts a woman with big breast and hips to signify fertility. The Ambum Stone also might represent fertility.
The ordinary beings don't depict partial animal/human figures and exaggerated features.