97624465920 has 400 divisors, whose sum is σ = 360963111168. Its totient is φ = 25191751680.

The previous prime is 97624465909. The next prime is 97624465963. The reversal of 97624465920 is 2956442679.

97624465920 is a `hidden beast` number, since 9 + 7 + 6 + 2 + 4 + 46 + 592 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6420567 + ... + 6435753.

Almost surely, 2^97624465920 is an apocalyptic number.

97624465920 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 97624465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180481555584).

97624465920 is an abundant number, since it is smaller than the sum of its proper divisors (263338645248).

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

97624465920 is a wasteful number, since it uses less digits than its factorization.

97624465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15253 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97624465920 in words is "ninety-seven billion, six hundred twenty-four million, four hundred sixty-five thousand, nine hundred twenty".