9976564444900 has 27 divisors (see below), whose sum is σ = 21649213386619. Its totient is φ = 3990613143680.

The previous prime is 9976564444877. The next prime is 9976564444949. The reversal of 9976564444900 is 94444656799.

The square root of 9976564444900 is 3158570.

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 10622600356 + 9965941844544 = 103066^2 + 3156888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31427772 + ... + 31743628.

Almost surely, 2^{9976564444900} is an apocalyptic number.

9976564444900 is the 3158570-th square number.

It is an amenable number.

9976564444900 is an abundant number, since it is smaller than the sum of its proper divisors (11672648941719).

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

9976564444900 is an frugal number, since it uses more digits than its factorization.

9976564444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631728 (or 315864 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 67.

The spelling of 9976564444900 in words is "nine trillion, nine hundred seventy-six billion, five hundred sixty-four million, four hundred forty-four thousand, nine hundred".