978676485696000 has 15360 divisors, whose sum is σ = 5164143073689600. Its totient is φ = 180257882112000.

The previous prime is 978676485695939. The next prime is 978676485696089. The reversal of 978676485696000 is 696584676879.

978676485696000 is a `hidden beast` number, since 9 + 7 + 8 + 6 + 7 + 6 + 48 + 569 + 6 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 22759918271979 + ... + 22759918272021.

It is an arithmetic number, because the mean of its divisors is an integer number (336207231360).

Almost surely, 2^{978676485696000} is an apocalyptic number.

978676485696000 is a gapful number since it is divisible by the number (90) 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 978676485696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582071536844800).

978676485696000 is an abundant number, since it is smaller than the sum of its proper divisors (4185466587993600).

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

978676485696000 is a wasteful number, since it uses less digits than its factorization.

978676485696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 978676485696000 in words is "nine hundred seventy-eight trillion, six hundred seventy-six billion, four hundred eighty-five million, six hundred ninety-six thousand".