979965734400 has 1440 divisors, whose sum is σ = 3949550212608. Its totient is φ = 239674982400.

The previous prime is 979965734369. The next prime is 979965734411. The reversal of 979965734400 is 4437569979.

979965734400 is a `hidden beast` number, since 9 + 79 + 96 + 5 + 73 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2273702185 + ... + 2273702615.

Almost surely, 2^979965734400 is an apocalyptic number.

979965734400 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 979965734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974775106304).

979965734400 is an abundant number, since it is smaller than the sum of its proper divisors (2969584478208).

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

979965734400 is a wasteful number, since it uses less digits than its factorization.

979965734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

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

The spelling of 979965734400 in words is "nine hundred seventy-nine billion, nine hundred sixty-five million, seven hundred thirty-four thousand, four hundred".