97692385680 has 480 divisors, whose sum is σ = 347467760640. Its totient is φ = 24563036160.

The previous prime is 97692385631. The next prime is 97692385751. The reversal of 97692385680 is 8658329679.

97692385680 is a `hidden beast` number, since 9 + 7 + 69 + 2 + 3 + 8 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318216087 + ... + 318216393.

It is an arithmetic number, because the mean of its divisors is an integer number (723891168).

Almost surely, 2^97692385680 is an apocalyptic number.

97692385680 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 97692385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733880320).

97692385680 is an abundant number, since it is smaller than the sum of its proper divisors (249775374960).

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

97692385680 is a wasteful number, since it uses less digits than its factorization.

97692385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 97692385680 in words is "ninety-seven billion, six hundred ninety-two million, three hundred eighty-five thousand, six hundred eighty".