6456335428624 has 45 divisors (see below), whose sum is σ = 12546380058687. Its totient is φ = 3218588400672.

The previous prime is 6456335428603. The next prime is 6456335428633. The reversal of 6456335428624 is 4268245336546.

The square root of 6456335428624 is 2540932.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4461875869 + ... + 4461877315.

Almost surely, 2^{6456335428624} is an apocalyptic number.

6456335428624 is the 2540932-nd square number.

It is an amenable number.

6456335428624 is a deficient number, since it is larger than the sum of its proper divisors (6090044630063).

6456335428624 is an frugal number, since it uses more digits than its factorization.

6456335428624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1888 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 58.

The spelling of 6456335428624 in words is "six trillion, four hundred fifty-six billion, three hundred thirty-five million, four hundred twenty-eight thousand, six hundred twenty-four".