How many heavens are there in these books?

It depends on the book. In the Book of the Secrets of Enoch, Enoch is lifted up heaven by heaven; this version takes him to the seventh and then speaks of God dwelling on the tenth.

The Testament of Levi describes seven. The lowest is gloomy because it is near the sins of men, the second holds fire, snow and ice kept for the day of judgment, the third holds armies, and in the highest dwells the Great Glory.

The Ascension of Isaiah also counts seven, above a firmament where Sammael and his hosts fight and envy one another. The first five heavens each have a throne with angels to the right and left, the sixth has neither, and God dwells in the seventh.

The Kebra Nagast speaks of seven heavens too, but puts the throne of the Most High, ringed with fire and carried by four beasts, in the sixth. The Life of Adam and Eve mentions seven firmaments and places paradise in the third heaven.