57681634464 has 120 divisors (see below), whose sum is σ = 170177651028. Its totient is φ = 19166284800.

The previous prime is 57681634447. The next prime is 57681634487. The reversal of 57681634464 is 46443618675.

57681634464 is a `hidden beast` number, since 5 + 76 + 81 + 6 + 34 + 464 = 666.

57681634464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57364082064 + 317552400 = 239508^2 + 17820^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57681634464.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 786564 + ... + 856764.

Almost surely, 2^57681634464 is an apocalyptic number.

57681634464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57681634464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85088825514).

57681634464 is an abundant number, since it is smaller than the sum of its proper divisors (112496016564).

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

57681634464 is a wasteful number, since it uses less digits than its factorization.

57681634464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70540 (or 70523 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 57681634464 in words is "fifty-seven billion, six hundred eighty-one million, six hundred thirty-four thousand, four hundred sixty-four".