961826592960 has 672 divisors, whose sum is σ = 3781356359040. Its totient is φ = 222934204416.

The previous prime is 961826592941. The next prime is 961826592967. The reversal of 961826592960 is 69295628169.

961826592960 is a `hidden beast` number, since 9 + 6 + 18 + 26 + 592 + 9 + 6 + 0 = 666.

961826592960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×961826592960² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (961826592967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32641594 + ... + 32671046.

Almost surely, 2^961826592960 is an apocalyptic number.

961826592960 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 961826592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890678179520).

961826592960 is an abundant number, since it is smaller than the sum of its proper divisors (2819529766080).

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

961826592960 is a wasteful number, since it uses less digits than its factorization.

961826592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29545 (or 29532 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 961826592960 in words is "nine hundred sixty-one billion, eight hundred twenty-six million, five hundred ninety-two thousand, nine hundred sixty".