79515661824 has 640 divisors, whose sum is σ = 266434375680. Its totient is φ = 23279173632.

The previous prime is 79515661787. The next prime is 79515661859. The reversal of 79515661824 is 42816651597.

It is a happy number.

79515661824 is a `hidden beast` number, since 7 + 9 + 5 + 15 + 6 + 618 + 2 + 4 = 666.

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

Its product of digits (3628800) is a multiple of the sum of its prime divisors (405).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254043492 + ... + 254043804.

It is an arithmetic number, because the mean of its divisors is an integer number (416303712).

Almost surely, 2^79515661824 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 79515661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133217187840).

79515661824 is an abundant number, since it is smaller than the sum of its proper divisors (186918713856).

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

79515661824 is a wasteful number, since it uses less digits than its factorization.

79515661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 405 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 79515661824 in words is "seventy-nine billion, five hundred fifteen million, six hundred sixty-one thousand, eight hundred twenty-four".