78964365312 has 576 divisors, whose sum is σ = 270382694400. Its totient is φ = 21737963520.

The previous prime is 78964365287. The next prime is 78964365329. The reversal of 78964365312 is 21356346987.

78964365312 is a `hidden beast` number, since 78 + 9 + 6 + 4 + 36 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621766593 + ... + 621766719.

It is an arithmetic number, because the mean of its divisors is an integer number (469414400).

Almost surely, 2^78964365312 is an apocalyptic number.

78964365312 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 78964365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135191347200).

78964365312 is an abundant number, since it is smaller than the sum of its proper divisors (191418329088).

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

78964365312 is a wasteful number, since it uses less digits than its factorization.

78964365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 78964365312 in words is "seventy-eight billion, nine hundred sixty-four million, three hundred sixty-five thousand, three hundred twelve".