79624372716001 has 27 divisors (see below), whose sum is σ = 85445871435147. Its totient is φ = 74184322886400.

The previous prime is 79624372715989. The next prime is 79624372716017. The reversal of 79624372716001 is 10061727342697.

The square root of 79624372716001 is 8923249.

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

It can be written as a sum of positive squares in 13 ways, for example, as 227718885601 + 79396653830400 = 477199^2 + 8910480^2 .

It is not a de Polignac number, because 79624372716001 - 2¹⁹ = 79624372191713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79624372711001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15321215935 + ... + 15321221131.

Almost surely, 2^{79624372716001} is an apocalyptic number.

79624372716001 is the 8923249-th square number.

79624372716001 is the 4461625-th centered octagonal number.

It is an amenable number.

79624372716001 is a deficient number, since it is larger than the sum of its proper divisors (5821498719146).

79624372716001 is an frugal number, since it uses more digits than its factorization.

79624372716001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 55.

The spelling of 79624372716001 in words is "seventy-nine trillion, six hundred twenty-four billion, three hundred seventy-two million, seven hundred sixteen thousand, one".