978793635600 has 405 divisors, whose sum is σ = 3736039558069. Its totient is φ = 237125011200.

The previous prime is 978793635539. The next prime is 978793635613. The reversal of 978793635600 is 6536397879.

The square root of 978793635600 is 989340.

It is a perfect power (a square), and thus also a powerful number.

978793635600 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 9 + 3 + 63 + 560 + 0 = 666.

978793635600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 352365708816 + 626427926784 = 593604^2 + 791472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 652963651 + ... + 652965149.

Almost surely, 2^978793635600 is an apocalyptic number.

978793635600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

978793635600 is the 989340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978793635600

978793635600 is an abundant number, since it is smaller than the sum of its proper divisors (2757245922469).

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

978793635600 is a wasteful number, since it uses less digits than its factorization.

978793635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 978793635600 in words is "nine hundred seventy-eight billion, seven hundred ninety-three million, six hundred thirty-five thousand, six hundred".