79768038604800 has 2448 divisors, whose sum is σ = 335916203632800. Its totient is φ = 16552065761280.

The previous prime is 79768038604699. The next prime is 79768038604811. The reversal of 79768038604800 is 840683086797.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228561715026 + ... + 228561715374.

Almost surely, 2^{79768038604800} is an apocalyptic number.

79768038604800 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 79768038604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167958101816400).

79768038604800 is an abundant number, since it is smaller than the sum of its proper divisors (256148165028000).

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

79768038604800 is a wasteful number, since it uses less digits than its factorization.

79768038604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 79768038604800 in words is "seventy-nine trillion, seven hundred sixty-eight billion, thirty-eight million, six hundred four thousand, eight hundred".