78972558336 has 924 divisors, whose sum is σ = 293829458688. Its totient is φ = 21069103104.

The previous prime is 78972558317. The next prime is 78972558361. The reversal of 78972558336 is 63385527987.

78972558336 is a `hidden beast` number, since 7 + 8 + 9 + 72 + 558 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (76204800) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 621831105 + ... + 621831231.

Almost surely, 2^78972558336 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 78972558336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146914729344).

78972558336 is an abundant number, since it is smaller than the sum of its proper divisors (214856900352).

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

78972558336 is a wasteful number, since it uses less digits than its factorization.

78972558336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 78972558336 in words is "seventy-eight billion, nine hundred seventy-two million, five hundred fifty-eight thousand, three hundred thirty-six".