957054320640 has 1080 divisors, whose sum is σ = 3796800569100. Its totient is φ = 230456033280.

The previous prime is 957054320617. The next prime is 957054320723. The reversal of 957054320640 is 46023450759.

957054320640 is a `hidden beast` number, since 9 + 570 + 5 + 4 + 32 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 879333801984 + 77720518656 = 937728^2 + 278784^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6423183286 + ... + 6423183434.

Almost surely, 2^957054320640 is an apocalyptic number.

957054320640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957054320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898400284550).

957054320640 is an abundant number, since it is smaller than the sum of its proper divisors (2839746248460).

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

957054320640 is an equidigital number, since it uses as much as digits as its factorization.

957054320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 957054320640 in words is "nine hundred fifty-seven billion, fifty-four million, three hundred twenty thousand, six hundred forty".