957200957664 has 48 divisors (see below), whose sum is σ = 2871602875008. Its totient is φ = 273485987712.

The previous prime is 957200957663. The next prime is 957200957677. The reversal of 957200957664 is 466759002759.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 957200957598 and 957200957607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957200957663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712202422 + ... + 712203765.

It is an arithmetic number, because the mean of its divisors is an integer number (59825059896).

Almost surely, 2^957200957664 is an apocalyptic number.

It is an amenable number.

957200957664 is an abundant number, since it is smaller than the sum of its proper divisors (1914401917344).

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

957200957664 is a wasteful number, since it uses less digits than its factorization.

957200957664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424406207 (or 1424406199 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 957200957664 in words is "nine hundred fifty-seven billion, two hundred million, nine hundred fifty-seven thousand, six hundred sixty-four".