961795722795264 has 576 divisors, whose sum is σ = 3255086427873280. Its totient is φ = 274412437217280.

The previous prime is 961795722795221. The next prime is 961795722795301. The reversal of 961795722795264 is 462597227597169.

961795722795264 is a `hidden beast` number, since 9 + 6 + 17 + 9 + 5 + 7 + 2 + 2 + 79 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 197859640194 + ... + 197859645054.

Almost surely, 2^{961795722795264} 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 961795722795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627543213936640).

961795722795264 is an abundant number, since it is smaller than the sum of its proper divisors (2293290705078016).

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

961795722795264 is a wasteful number, since it uses less digits than its factorization.

961795722795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9783 counting only the distinct ones).

The product of its digits is 7201353600, while the sum is 81.

The spelling of 961795722795264 in words is "nine hundred sixty-one trillion, seven hundred ninety-five billion, seven hundred twenty-two million, seven hundred ninety-five thousand, two hundred sixty-four".