5957648640 has 432 divisors, whose sum is σ = 22599486000. Its totient is φ = 1442316288.

The previous prime is 5957648639. The next prime is 5957648651. The reversal of 5957648640 is 468467595.

5957648640 is a `hidden beast` number, since 5 + 9 + 576 + 4 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 613453824 + 5344194816 = 24768^2 + 73104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5678836 + ... + 5679884.

It is an arithmetic number, because the mean of its divisors is an integer number (52313625).

Almost surely, 2^5957648640 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 5957648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11299743000).

5957648640 is an abundant number, since it is smaller than the sum of its proper divisors (16641837360).

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

5957648640 is a wasteful number, since it uses less digits than its factorization.

5957648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5957648640 is about 77185.8059490215. The cubic root of 5957648640 is about 1812.8350755223.

The spelling of 5957648640 in words is "five billion, nine hundred fifty-seven million, six hundred forty-eight thousand, six hundred forty".