97600724496 has 560 divisors, whose sum is σ = 339003480960. Its totient is φ = 26858926080.

The previous prime is 97600724489. The next prime is 97600724509. The reversal of 97600724496 is 69442700679.

It is a happy number.

97600724496 is a `hidden beast` number, since 9 + 7 + 600 + 7 + 24 + 4 + 9 + 6 = 666.

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

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 111 ways as a sum of consecutive naturals, for example, 63253101 + ... + 63254643.

Almost surely, 2^97600724496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97600724496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169501740480).

97600724496 is an abundant number, since it is smaller than the sum of its proper divisors (241402756464).

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

97600724496 is a wasteful number, since it uses less digits than its factorization.

97600724496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 97600724496 in words is "ninety-seven billion, six hundred million, seven hundred twenty-four thousand, four hundred ninety-six".