78725110464 has 1008 divisors, whose sum is σ = 316732066560. Its totient is φ = 18826629120.

The previous prime is 78725110427. The next prime is 78725110517. The reversal of 78725110464 is 46401152787.

78725110464 is a `hidden beast` number, since 7 + 8 + 72 + 5 + 110 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202377982 + ... + 202378370.

It is an arithmetic number, because the mean of its divisors is an integer number (314218320).

Almost surely, 2^78725110464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78725110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158366033280).

78725110464 is an abundant number, since it is smaller than the sum of its proper divisors (238006956096).

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

78725110464 is a wasteful number, since it uses less digits than its factorization.

78725110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78725110464 in words is "seventy-eight billion, seven hundred twenty-five million, one hundred ten thousand, four hundred sixty-four".