57642702432 has 96 divisors (see below), whose sum is σ = 172965671424. Its totient is φ = 16465766400.

The previous prime is 57642702421. The next prime is 57642702433. The reversal of 57642702432 is 23420724675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57642702432² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57642702433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5579832 + ... + 5590152.

It is an arithmetic number, because the mean of its divisors is an integer number (1801725744).

Almost surely, 2^57642702432 is an apocalyptic number.

It is an amenable number.

57642702432 is an abundant number, since it is smaller than the sum of its proper divisors (115322968992).

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

57642702432 is a wasteful number, since it uses less digits than its factorization.

57642702432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 18644 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 57642702432 in words is "fifty-seven billion, six hundred forty-two million, seven hundred two thousand, four hundred thirty-two".