57437952768 has 432 divisors, whose sum is σ = 207848309760. Its totient is φ = 15443509248.

The previous prime is 57437952697. The next prime is 57437952787. The reversal of 57437952768 is 86725973475.

57437952768 is a `hidden beast` number, since 5 + 7 + 43 + 7 + 9 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7398873 + ... + 7406631.

Almost surely, 2^57437952768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57437952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103924154880).

57437952768 is an abundant number, since it is smaller than the sum of its proper divisors (150410356992).

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

57437952768 is an equidigital number, since it uses as much as digits as its factorization.

57437952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7788 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 57437952768 in words is "fifty-seven billion, four hundred thirty-seven million, nine hundred fifty-two thousand, seven hundred sixty-eight".