79636824960 has 512 divisors, whose sum is σ = 333147340800. Its totient is φ = 15676416000.

The previous prime is 79636824931. The next prime is 79636824991. The reversal of 79636824960 is 6942863697.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 79636824894 and 79636824903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2794785 + ... + 2823135.

It is an arithmetic number, because the mean of its divisors is an integer number (650678400).

Almost surely, 2^79636824960 is an apocalyptic number.

79636824960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79636824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166573670400).

79636824960 is an abundant number, since it is smaller than the sum of its proper divisors (253510515840).

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

79636824960 is a wasteful number, since it uses less digits than its factorization.

79636824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28410 (or 28398 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 79636824960 in words is "seventy-nine billion, six hundred thirty-six million, eight hundred twenty-four thousand, nine hundred sixty".