979598460960 has 960 divisors, whose sum is σ = 4296778472448. Its totient is φ = 205029605376.

The previous prime is 979598460947. The next prime is 979598460961. The reversal of 979598460960 is 69064895979.

979598460960 is a `hidden beast` number, since 9 + 7 + 9 + 5 + 9 + 8 + 4 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×979598460960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (979598460961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57054297 + ... + 57071463.

Almost surely, 2^979598460960 is an apocalyptic number.

979598460960 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 979598460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148389236224).

979598460960 is an abundant number, since it is smaller than the sum of its proper divisors (3317180011488).

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

979598460960 is a wasteful number, since it uses less digits than its factorization.

979598460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17255 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 979598460960 in words is "nine hundred seventy-nine billion, five hundred ninety-eight million, four hundred sixty thousand, nine hundred sixty".