79217102960640 has 1344 divisors, whose sum is σ = 309918846444480. Its totient is φ = 19343443230720.

The previous prime is 79217102960627. The next prime is 79217102960687. The reversal of 79217102960640 is 4606920171297.

79217102960640 is a `hidden beast` number, since 7 + 9 + 2 + 1 + 7 + 1 + 0 + 29 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4695451405 + ... + 4695468275.

It is an arithmetic number, because the mean of its divisors is an integer number (230594379795).

Almost surely, 2^{79217102960640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79217102960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154959423222240).

79217102960640 is an abundant number, since it is smaller than the sum of its proper divisors (230701743483840).

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

79217102960640 is a wasteful number, since it uses less digits than its factorization.

79217102960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970 (or 16935 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 79217102960640 in words is "seventy-nine trillion, two hundred seventeen billion, one hundred two million, nine hundred sixty thousand, six hundred forty".