97707688000 has 168 divisors, whose sum is σ = 262021822920. Its totient is φ = 36076185600.

The previous prime is 97707687991. The next prime is 97707688049. The reversal of 97707688000 is 88670779.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 96900218944 + 807469056 = 311288^2 + 28416^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315866 + ... + 1388134.

Almost surely, 2^97707688000 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 97707688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131010911460).

97707688000 is an abundant number, since it is smaller than the sum of its proper divisors (164314134920).

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

97707688000 is a wasteful number, since it uses less digits than its factorization.

97707688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72322 (or 72289 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 97707688000 in words is "ninety-seven billion, seven hundred seven million, six hundred eighty-eight thousand".