979364800128 has 384 divisors, whose sum is σ = 3131694820800. Its totient is φ = 269295206400.

The previous prime is 979364800121. The next prime is 979364800129. The reversal of 979364800128 is 821008463979.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (979364800121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35624148 + ... + 35651628.

Almost surely, 2^979364800128 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 979364800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565847410400).

979364800128 is an abundant number, since it is smaller than the sum of its proper divisors (2152330020672).

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

979364800128 is a wasteful number, since it uses less digits than its factorization.

979364800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27592 (or 27569 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 979364800128 in words is "nine hundred seventy-nine billion, three hundred sixty-four million, eight hundred thousand, one hundred twenty-eight".