If the books have to be the correct way up and spine outwards:
7! ways
=7x6x5x4x3x2x1
=5040 ways.
If the books can be any way in (upside down, spine inward, etc.):
(7!x4^7) ways
=7x4x6x4x5x4x4x4x3x4x2x4x1x4
=82,575,360 ways
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