78624006912 has 432 divisors, whose sum is σ = 259542541440. Its totient is φ = 23539507200.

The previous prime is 78624006907. The next prime is 78624006931. The reversal of 78624006912 is 21960042687.

It is a happy number.

78624006912 is a `hidden beast` number, since 7 + 8 + 624 + 0 + 0 + 6 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60900987 + ... + 60902277.

It is an arithmetic number, because the mean of its divisors is an integer number (600792920).

Almost surely, 2^78624006912 is an apocalyptic number.

78624006912 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 78624006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129771270720).

78624006912 is an abundant number, since it is smaller than the sum of its proper divisors (180918534528).

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

78624006912 is a wasteful number, since it uses less digits than its factorization.

78624006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 78624006912 in words is "seventy-eight billion, six hundred twenty-four million, six thousand, nine hundred twelve".