57360046968 has 336 divisors, whose sum is σ = 187676581680. Its totient is φ = 16092400896.

The previous prime is 57360046927. The next prime is 57360046973. The reversal of 57360046968 is 86964006375.

57360046968 is a `hidden beast` number, since 573 + 6 + 0 + 0 + 4 + 6 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 183258780 + ... + 183259092.

It is an arithmetic number, because the mean of its divisors is an integer number (558561255).

Almost surely, 2^57360046968 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 57360046968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93838290840).

57360046968 is an abundant number, since it is smaller than the sum of its proper divisors (130316534712).

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

57360046968 is an equidigital number, since it uses as much as digits as its factorization.

57360046968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 57360046968 in words is "fifty-seven billion, three hundred sixty million, forty-six thousand, nine hundred sixty-eight".