93677620624 has 135 divisors (see below), whose sum is σ = 224632615617. Its totient is φ = 37727165952.

The previous prime is 93677620609. The next prime is 93677620643. The reversal of 93677620624 is 42602677639.

It is a happy number.

The square root of 93677620624 is 306068.

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

It can be written as a sum of positive squares in only one way, i.e., 72932403600 + 20745217024 = 270060^2 + 144032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145688047 + ... + 145688689.

Almost surely, 2^93677620624 is an apocalyptic number.

93677620624 is the 306068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93677620624

93677620624 is an abundant number, since it is smaller than the sum of its proper divisors (130954994993).

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

93677620624 is an equidigital number, since it uses as much as digits as its factorization.

93677620624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 52.

The spelling of 93677620624 in words is "ninety-three billion, six hundred seventy-seven million, six hundred twenty thousand, six hundred twenty-four".