57347644674375 has 120 divisors (see below), whose sum is σ = 118864566163200. Its totient is φ = 26341501320000.

The previous prime is 57347644674311. The next prime is 57347644674427.

57347644674375 is a `hidden beast` number, since 5 + 7 + 3 + 4 + 76 + 446 + 7 + 43 + 75 = 666.

57347644674375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57347644674375 - 2⁶ = 57347644674311 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23214655 + ... + 25565904.

It is an arithmetic number, because the mean of its divisors is an integer number (990538051360).

Almost surely, 2^{57347644674375} is an apocalyptic number.

57347644674375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57347644674375 is an abundant number, since it is smaller than the sum of its proper divisors (61516921488825).

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

57347644674375 is a wasteful number, since it uses less digits than its factorization.

57347644674375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48780615 (or 48780597 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 72.

The spelling of 57347644674375 in words is "fifty-seven trillion, three hundred forty-seven billion, six hundred forty-four million, six hundred seventy-four thousand, three hundred seventy-five".