78964374528 has 704 divisors, whose sum is σ = 274383155200. Its totient is φ = 22215720960.

The previous prime is 78964374499. The next prime is 78964374557. The reversal of 78964374528 is 82547346987.

78964374528 is a `hidden beast` number, since 78 + 9 + 6 + 4 + 37 + 4 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (78964374499) and next prime (78964374557).

Its product of digits (81285120) is a multiple of the sum of its prime divisors (441).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211700550 + ... + 211700922.

It is an arithmetic number, because the mean of its divisors is an integer number (389748800).

Almost surely, 2^78964374528 is an apocalyptic number.

78964374528 is a gapful number since it is divisible by the number (78) 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 78964374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137191577600).

78964374528 is an abundant number, since it is smaller than the sum of its proper divisors (195418780672).

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

78964374528 is a wasteful number, since it uses less digits than its factorization.

78964374528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 78964374528 in words is "seventy-eight billion, nine hundred sixty-four million, three hundred seventy-four thousand, five hundred twenty-eight".