78973996464 has 320 divisors, whose sum is σ = 253372116480. Its totient is φ = 23350394880.

The previous prime is 78973996447. The next prime is 78973996471. The reversal of 78973996464 is 46469937987.

78973996464 is a `hidden beast` number, since 7 + 8 + 9 + 73 + 9 + 96 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78973996392 and 78973996401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33647739 + ... + 33650085.

It is an arithmetic number, because the mean of its divisors is an integer number (791787864).

Almost surely, 2^78973996464 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 78973996464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126686058240).

78973996464 is an abundant number, since it is smaller than the sum of its proper divisors (174398120016).

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

78973996464 is a wasteful number, since it uses less digits than its factorization.

78973996464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2533 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 78973996464 in words is "seventy-eight billion, nine hundred seventy-three million, nine hundred ninety-six thousand, four hundred sixty-four".