9687597768 has 96 divisors (see below), whose sum is σ = 26520436800. Its totient is φ = 3194505600.

The previous prime is 9687597761. The next prime is 9687597791. The reversal of 9687597768 is 8677957869.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9687597696 and 9687597705.

It is not an unprimeable number, because it can be changed into a prime (9687597761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384658 + ... + 3387518.

It is an arithmetic number, because the mean of its divisors is an integer number (276254550).

Almost surely, 2^9687597768 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 9687597768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260218400).

9687597768 is an abundant number, since it is smaller than the sum of its proper divisors (16832839032).

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

9687597768 is a wasteful number, since it uses less digits than its factorization.

9687597768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3356 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The square root of 9687597768 is about 98425.5950858312. The cubic root of 9687597768 is about 2131.7619171476.

The spelling of 9687597768 in words is "nine billion, six hundred eighty-seven million, five hundred ninety-seven thousand, seven hundred sixty-eight".