79664907270400 has 729 divisors, whose sum is σ = 210714348893139. Its totient is φ = 29818377216000.

The previous prime is 79664907270331. The next prime is 79664907270401. The reversal of 79664907270400 is 407270946697.

The square root of 79664907270400 is 8925520.

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 36695099291904 + 42969807978496 = 6057648^2 + 6555136^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (79664907270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1305982086370 + ... + 1305982086430.

Almost surely, 2^{79664907270400} is an apocalyptic number.

79664907270400 is the 8925520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79664907270400

79664907270400 is an abundant number, since it is smaller than the sum of its proper divisors (131049441622739).

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

79664907270400 is an frugal number, since it uses more digits than its factorization.

79664907270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 61.

The spelling of 79664907270400 in words is "seventy-nine trillion, six hundred sixty-four billion, nine hundred seven million, two hundred seventy thousand, four hundred".