97568733600 has 576 divisors, whose sum is σ = 390330017280. Its totient is φ = 23365324800.

The previous prime is 97568733599. The next prime is 97568733617. The reversal of 97568733600 is 633786579.

97568733600 is a `hidden beast` number, since 9 + 7 + 568 + 73 + 3 + 6 + 0 + 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10384905 + ... + 10394295.

It is an arithmetic number, because the mean of its divisors is an integer number (677656280).

Almost surely, 2^97568733600 is an apocalyptic number.

97568733600 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 97568733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195165008640).

97568733600 is an abundant number, since it is smaller than the sum of its proper divisors (292761283680).

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

97568733600 is a wasteful number, since it uses less digits than its factorization.

97568733600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 97568733600 in words is "ninety-seven billion, five hundred sixty-eight million, seven hundred thirty-three thousand, six hundred".