78974679672 has 512 divisors, whose sum is σ = 276480000000. Its totient is φ = 20379340800.

The previous prime is 78974679661. The next prime is 78974679757. The reversal of 78974679672 is 27697647987.

78974679672 is a `hidden beast` number, since 7 + 8 + 9 + 7 + 467 + 96 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78974679672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63229704 + ... + 63230952.

It is an arithmetic number, because the mean of its divisors is an integer number (540000000).

Almost surely, 2^78974679672 is an apocalyptic number.

78974679672 is a gapful number since it is divisible by the number (72) 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 78974679672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000000).

78974679672 is an abundant number, since it is smaller than the sum of its proper divisors (197505320328).

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

78974679672 is a wasteful number, since it uses less digits than its factorization.

78974679672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 78974679672 in words is "seventy-eight billion, nine hundred seventy-four million, six hundred seventy-nine thousand, six hundred seventy-two".