79932643560 has 1728 divisors, whose sum is σ = 367563268800. Its totient is φ = 15519651840.

The previous prime is 79932643559. The next prime is 79932643573. The reversal of 79932643560 is 6534623997.

79932643560 is a `hidden beast` number, since 7 + 9 + 9 + 32 + 6 + 43 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79932643497 and 79932643506.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1094967684 + ... + 1094967756.

It is an arithmetic number, because the mean of its divisors is an integer number (212710225).

Almost surely, 2^79932643560 is an apocalyptic number.

79932643560 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 79932643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183781634400).

79932643560 is an abundant number, since it is smaller than the sum of its proper divisors (287630625240).

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

79932643560 is a wasteful number, since it uses less digits than its factorization.

79932643560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 79932643560 in words is "seventy-nine billion, nine hundred thirty-two million, six hundred forty-three thousand, five hundred sixty".