79632895680 has 672 divisors, whose sum is σ = 309742392960. Its totient is φ = 18641387520.

The previous prime is 79632895649. The next prime is 79632895717. The reversal of 79632895680 is 8659823697.

79632895680 is a `hidden beast` number, since 7 + 9 + 63 + 2 + 8 + 9 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77088444 + ... + 77089476.

It is an arithmetic number, because the mean of its divisors is an integer number (460926180).

Almost surely, 2^79632895680 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 79632895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154871196480).

79632895680 is an abundant number, since it is smaller than the sum of its proper divisors (230109497280).

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

79632895680 is a wasteful number, since it uses less digits than its factorization.

79632895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 79632895680 in words is "seventy-nine billion, six hundred thirty-two million, eight hundred ninety-five thousand, six hundred eighty".