79520136480 has 336 divisors, whose sum is σ = 284448265920. Its totient is φ = 20996319744.

The previous prime is 79520136467. The next prime is 79520136481. The reversal of 79520136480 is 8463102597.

79520136480 is a `hidden beast` number, since 7 + 9 + 5 + 201 + 364 + 80 = 666.

It is a super-3 number, since 3×79520136480³ (a number of 34 digits) contains 333 as substring.

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 (79520136481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12010611 + ... + 12017229.

It is an arithmetic number, because the mean of its divisors is an integer number (846572220).

It is a 1-persistent number, because it is pandigital, but 2⋅79520136480 = 159040272960 is not.

Almost surely, 2^79520136480 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 79520136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142224132960).

79520136480 is an abundant number, since it is smaller than the sum of its proper divisors (204928129440).

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

79520136480 is a wasteful number, since it uses less digits than its factorization.

79520136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 79520 and 136480, that added together give a cube (216000 = 60³).

The spelling of 79520136480 in words is "seventy-nine billion, five hundred twenty million, one hundred thirty-six thousand, four hundred eighty".