57264560640 has 240 divisors, whose sum is σ = 226655814528. Its totient is φ = 13089005568.

The previous prime is 57264560593. The next prime is 57264560659. The reversal of 57264560640 is 4606546275.

57264560640 is a `hidden beast` number, since 5 + 7 + 26 + 4 + 560 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 16252 + ... + 338811.

Almost surely, 2^57264560640 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 57264560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113327907264).

57264560640 is an abundant number, since it is smaller than the sum of its proper divisors (169391253888).

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

57264560640 is a wasteful number, since it uses less digits than its factorization.

57264560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355099 (or 355080 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 57264560640 in words is "fifty-seven billion, two hundred sixty-four million, five hundred sixty thousand, six hundred forty".