956761772164 has 81 divisors (see below), whose sum is σ = 1858312887151. Its totient is φ = 430695485440.

The previous prime is 956761772159. The next prime is 956761772167. The reversal of 956761772164 is 461277167659.

It is a happy number.

The square root of 956761772164 is 978142.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 790395677764 + 166366094400 = 889042^2 + 407880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (956761772167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3722808324 + ... + 3722808580.

Almost surely, 2^956761772164 is an apocalyptic number.

956761772164 is the 978142-nd square number.

It is an amenable number.

956761772164 is a deficient number, since it is larger than the sum of its proper divisors (901551114987).

956761772164 is a wasteful number, since it uses less digits than its factorization.

956761772164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 61.

The spelling of 956761772164 in words is "nine hundred fifty-six billion, seven hundred sixty-one million, seven hundred seventy-two thousand, one hundred sixty-four".