78725153664 has 576 divisors, whose sum is σ = 259749630000. Its totient is φ = 23465705472.

The previous prime is 78725153653. The next prime is 78725153669. The reversal of 78725153664 is 46635152787.

78725153664 is a `hidden beast` number, since 7 + 87 + 25 + 1 + 536 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8467200) is a multiple of the sum of its prime factors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 78725153664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78725153669) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528356662 + ... + 528356810.

Almost surely, 2^78725153664 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 78725153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129874815000).

78725153664 is an abundant number, since it is smaller than the sum of its proper divisors (181024476336).

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

78725153664 is a wasteful number, since it uses less digits than its factorization.

78725153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 194 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 78725153664 in words is "seventy-eight billion, seven hundred twenty-five million, one hundred fifty-three thousand, six hundred sixty-four".