79231632480 has 1728 divisors, whose sum is σ = 386490424320. Its totient is φ = 14342676480.

The previous prime is 79231632443. The next prime is 79231632497. The reversal of 79231632480 is 8423613297.

79231632480 is a `hidden beast` number, since 7 + 9 + 2 + 3 + 1 + 632 + 4 + 8 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 301260829 + ... + 301261091.

It is an arithmetic number, because the mean of its divisors is an integer number (223663440).

Almost surely, 2^79231632480 is an apocalyptic number.

79231632480 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 79231632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193245212160).

79231632480 is an abundant number, since it is smaller than the sum of its proper divisors (307258791840).

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

79231632480 is a wasteful number, since it uses less digits than its factorization.

79231632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 79231632480 in words is "seventy-nine billion, two hundred thirty-one million, six hundred thirty-two thousand, four hundred eighty".