57320751264 has 192 divisors, whose sum is σ = 176932304640. Its totient is φ = 15907553280.

The previous prime is 57320751259. The next prime is 57320751269. The reversal of 57320751264 is 46215702375.

It is an interprime number because it is at equal distance from previous prime (57320751259) and next prime (57320751269).

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

It is not an unprimeable number, because it can be changed into a prime (57320751269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6415152 + ... + 6424080.

It is an arithmetic number, because the mean of its divisors is an integer number (921522420).

Almost surely, 2^57320751264 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 57320751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88466152320).

57320751264 is an abundant number, since it is smaller than the sum of its proper divisors (119611553376).

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

57320751264 is a wasteful number, since it uses less digits than its factorization.

57320751264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 57320751264 in words is "fifty-seven billion, three hundred twenty million, seven hundred fifty-one thousand, two hundred sixty-four".