79713663120 has 960 divisors, whose sum is σ = 346947793920. Its totient is φ = 16036061184.

The previous prime is 79713663109. The next prime is 79713663121. The reversal of 79713663120 is 2136631797.

79713663120 is a `hidden beast` number, since 7 + 9 + 7 + 1 + 3 + 6 + 631 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79713663121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 254676084 + ... + 254676396.

It is an arithmetic number, because the mean of its divisors is an integer number (361403952).

Almost surely, 2^79713663120 is an apocalyptic number.

79713663120 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 79713663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173473896960).

79713663120 is an abundant number, since it is smaller than the sum of its proper divisors (267234130800).

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

79713663120 is a wasteful number, since it uses less digits than its factorization.

79713663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 79713663120 in words is "seventy-nine billion, seven hundred thirteen million, six hundred sixty-three thousand, one hundred twenty".