97932312576 has 576 divisors, whose sum is σ = 342649485360. Its totient is φ = 27869184000.

The previous prime is 97932312571. The next prime is 97932312581. The reversal of 97932312576 is 67521323979.

97932312576 is a `hidden beast` number, since 9 + 7 + 9 + 32 + 31 + 2 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (97932312571) and next prime (97932312581).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97932312571) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390168451 + ... + 390168701.

Almost surely, 2^97932312576 is an apocalyptic number.

97932312576 is a gapful number since it is divisible by the number (96) 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 97932312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171324742680).

97932312576 is an abundant number, since it is smaller than the sum of its proper divisors (244717172784).

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

97932312576 is an frugal number, since it uses more digits than its factorization.

97932312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 263 counting only the distinct ones).

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

The spelling of 97932312576 in words is "ninety-seven billion, nine hundred thirty-two million, three hundred twelve thousand, five hundred seventy-six".