75609424655424 has 315 divisors, whose sum is σ = 246380232683431. Its totient is φ = 22909859976960.

The previous prime is 75609424655371. The next prime is 75609424655437. The reversal of 75609424655424 is 42455642490657.

The square root of 75609424655424 is 8695368.

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

75609424655424 is a `hidden beast` number, since 7 + 5 + 6 + 0 + 9 + 4 + 24 + 65 + 542 + 4 = 666.

It is a super-2 number, since 2×75609424655424² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6886725967 + ... + 6886736945.

Almost surely, 2^{75609424655424} is an apocalyptic number.

75609424655424 is the 8695368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75609424655424

75609424655424 is an abundant number, since it is smaller than the sum of its proper divisors (170770808028007).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75609424655424 is an frugal number, since it uses more digits than its factorization.

75609424655424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 63.

The spelling of 75609424655424 in words is "seventy-five trillion, six hundred nine billion, four hundred twenty-four million, six hundred fifty-five thousand, four hundred twenty-four".