97879324656960 has 1344 divisors, whose sum is σ = 435617973633024. Its totient is φ = 20322905702400.

The previous prime is 97879324656959. The next prime is 97879324657067. The reversal of 97879324656960 is 6965642397879.

97879324656960 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 9 + 3 + 2 + 46 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 97879324656960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8807636364 + ... + 8807647476.

It is an arithmetic number, because the mean of its divisors is an integer number (324120516096).

Almost surely, 2^{97879324656960} is an apocalyptic number.

97879324656960 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 97879324656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217808986816512).

97879324656960 is an abundant number, since it is smaller than the sum of its proper divisors (337738648976064).

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

97879324656960 is a wasteful number, since it uses less digits than its factorization.

97879324656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 97879324656960 in words is "ninety-seven trillion, eight hundred seventy-nine billion, three hundred twenty-four million, six hundred fifty-six thousand, nine hundred sixty".