97701630592320 has 336 divisors, whose sum is σ = 337193137794240. Its totient is φ = 25965400301568.

The previous prime is 97701630592259. The next prime is 97701630592421. The reversal of 97701630592320 is 2329503610779.

97701630592320 is a `hidden beast` number, since 9 + 7 + 7 + 0 + 1 + 6 + 305 + 9 + 2 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7408928767 + ... + 7408941953.

It is an arithmetic number, because the mean of its divisors is an integer number (1003551005340).

Almost surely, 2^{97701630592320} is an apocalyptic number.

97701630592320 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 97701630592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168596568897120).

97701630592320 is an abundant number, since it is smaller than the sum of its proper divisors (239491507201920).

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

97701630592320 is a wasteful number, since it uses less digits than its factorization.

97701630592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 97701630592320 in words is "ninety-seven trillion, seven hundred one billion, six hundred thirty million, five hundred ninety-two thousand, three hundred twenty".