4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.
4320 = (6 + 4) x (6 + 3) x (6 + 2) x (6 + 0).
4320 = 7! - 6! (A001563 and A058295).
4320 is the maximal kissing number of a 16-dimensional laminated lattice (A002336).
4320 is a number n such that n! is the product of exactly four smaller factorials (A109097).
4320 divides 538 - 1.
Source: OEIS
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