57360214464 has 448 divisors, whose sum is σ = 192262963200. Its totient is φ = 14714929152.

The previous prime is 57360214451. The next prime is 57360214481. The reversal of 57360214464 is 46441206375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74590272 + ... + 74591040.

It is an arithmetic number, because the mean of its divisors is an integer number (429158400).

Almost surely, 2^57360214464 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 57360214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96131481600).

57360214464 is an abundant number, since it is smaller than the sum of its proper divisors (134902748736).

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

57360214464 is a wasteful number, since it uses less digits than its factorization.

57360214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 57360214464 in words is "fifty-seven billion, three hundred sixty million, two hundred fourteen thousand, four hundred sixty-four".