979657286400 has 1620 divisors, whose sum is σ = 4152072344112. Its totient is φ = 226510110720.

The previous prime is 979657286369. The next prime is 979657286429. The reversal of 979657286400 is 4682756979.

979657286400 is a `hidden beast` number, since 97 + 9 + 65 + 7 + 2 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×979657286400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1947628549 + ... + 1947629051.

Almost surely, 2^979657286400 is an apocalyptic number.

979657286400 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 979657286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076036172056).

979657286400 is an abundant number, since it is smaller than the sum of its proper divisors (3172415057712).

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

979657286400 is a wasteful number, since it uses less digits than its factorization.

979657286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 979657286400 in words is "nine hundred seventy-nine billion, six hundred fifty-seven million, two hundred eighty-six thousand, four hundred".