961313972640 has 384 divisors, whose sum is σ = 3708807782400. Its totient is φ = 204494450688.

The previous prime is 961313972639. The next prime is 961313972669. The reversal of 961313972640 is 46279313169.

961313972640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2691261 + ... + 3027459.

It is an arithmetic number, because the mean of its divisors is an integer number (9658353600).

Almost surely, 2^961313972640 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 961313972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854403891200).

961313972640 is an abundant number, since it is smaller than the sum of its proper divisors (2747493809760).

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

961313972640 is a wasteful number, since it uses less digits than its factorization.

961313972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336284 (or 336276 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 961313972640 in words is "nine hundred sixty-one billion, three hundred thirteen million, nine hundred seventy-two thousand, six hundred forty".