79541572320 has 480 divisors, whose sum is σ = 324031409856. Its totient is φ = 17998848000.

The previous prime is 79541572303. The next prime is 79541572333. The reversal of 79541572320 is 2327514597.

It is a happy number.

79541572320 is a `hidden beast` number, since 7 + 9 + 5 + 41 + 572 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9158380 + ... + 9167060.

Almost surely, 2^79541572320 is an apocalyptic number.

79541572320 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 79541572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162015704928).

79541572320 is an abundant number, since it is smaller than the sum of its proper divisors (244489837536).

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

79541572320 is a wasteful number, since it uses less digits than its factorization.

79541572320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 79541572320 in words is "seventy-nine billion, five hundred forty-one million, five hundred seventy-two thousand, three hundred twenty".