79021290129664 has 81 divisors (see below), whose sum is σ = 161174983590201. Its totient is φ = 38666721745920.

The previous prime is 79021290129641. The next prime is 79021290129671. The reversal of 79021290129664 is 46692109212097.

The square root of 79021290129664 is 8889392.

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

It can be written as a sum of positive squares in only one way, i.e., 10843901688064 + 68177388441600 = 3293008^2 + 8256960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 79021290129599 and 79021290129608.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6684816874 + ... + 6684828694.

Almost surely, 2^{79021290129664} is an apocalyptic number.

79021290129664 is the 8889392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79021290129664

79021290129664 is an abundant number, since it is smaller than the sum of its proper divisors (82153693460537).

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

79021290129664 is an frugal number, since it uses more digits than its factorization.

79021290129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23752 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 79021290129664 in words is "seventy-nine trillion, twenty-one billion, two hundred ninety million, one hundred twenty-nine thousand, six hundred sixty-four".