78974904960 has 512 divisors, whose sum is σ = 333570355200. Its totient is φ = 17265954816.

The previous prime is 78974904959. The next prime is 78974904961. The reversal of 78974904960 is 6940947987.

78974904960 is a `hidden beast` number, since 7 + 89 + 7 + 490 + 4 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (78974904959) and next prime (78974904961).

It is a super-2 number, since 2×78974904960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78974904961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2767887 + ... + 2796273.

It is an arithmetic number, because the mean of its divisors is an integer number (651504600).

Almost surely, 2^78974904960 is an apocalyptic number.

78974904960 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 78974904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166785177600).

78974904960 is an abundant number, since it is smaller than the sum of its proper divisors (254595450240).

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

78974904960 is a wasteful number, since it uses less digits than its factorization.

78974904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28445 (or 28427 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 78974904960 in words is "seventy-eight billion, nine hundred seventy-four million, nine hundred four thousand, nine hundred sixty".