57331592640 has 1008 divisors, whose sum is σ = 241882647552. Its totient is φ = 12671023104.

The previous prime is 57331592623. The next prime is 57331592663. The reversal of 57331592640 is 4629513375.

57331592640 is a `hidden beast` number, since 5 + 7 + 331 + 59 + 264 + 0 = 666.

57331592640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 690742039 + ... + 690742121.

It is an arithmetic number, because the mean of its divisors is an integer number (239962944).

Almost surely, 2^57331592640 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 57331592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120941323776).

57331592640 is an abundant number, since it is smaller than the sum of its proper divisors (184551054912).

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

57331592640 is an frugal number, since it uses more digits than its factorization.

57331592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 57331592640 in words is "fifty-seven billion, three hundred thirty-one million, five hundred ninety-two thousand, six hundred forty".