78557004864 has 168 divisors, whose sum is σ = 245216888280. Its totient is φ = 23899594752.

The previous prime is 78557004859. The next prime is 78557004917. The reversal of 78557004864 is 46840075587.

78557004864 is a `hidden beast` number, since 7 + 8 + 5 + 570 + 0 + 4 + 8 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485710400 + 71071294464 = 86520^2 + 266592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 78557004864.

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 23 ways as a sum of consecutive naturals, for example, 607494 + ... + 725370.

It is an arithmetic number, because the mean of its divisors is an integer number (1459624335).

Almost surely, 2^78557004864 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 78557004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122608444140).

78557004864 is an abundant number, since it is smaller than the sum of its proper divisors (166659883416).

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

78557004864 is a wasteful number, since it uses less digits than its factorization.

78557004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117997 (or 117984 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 78557004864 in words is "seventy-eight billion, five hundred fifty-seven million, four thousand, eight hundred sixty-four".