79669776384 has 468 divisors, whose sum is σ = 258489186228. Its totient is φ = 23616552960.

The previous prime is 79669776379. The next prime is 79669776409. The reversal of 79669776384 is 48367796697.

79669776384 is a `hidden beast` number, since 7 + 96 + 6 + 97 + 76 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39413366784 + 40256409600 = 198528^2 + 200640^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236408664 + ... + 236409000.

It is an arithmetic number, because the mean of its divisors is an integer number (552327321).

Almost surely, 2^79669776384 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 79669776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129244593114).

79669776384 is an abundant number, since it is smaller than the sum of its proper divisors (178819409844).

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

79669776384 is a wasteful number, since it uses less digits than its factorization.

79669776384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 406 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 79669776384 in words is "seventy-nine billion, six hundred sixty-nine million, seven hundred seventy-six thousand, three hundred eighty-four".