9657600876 has 144 divisors (see below), whose sum is σ = 30486613248. Its totient is φ = 2504304000.

The previous prime is 9657600829. The next prime is 9657600929. The reversal of 9657600876 is 6780067569.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1890726 + ... + 1895826.

It is an arithmetic number, because the mean of its divisors is an integer number (211712592).

Almost surely, 2^9657600876 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 9657600876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243306624).

9657600876 is an abundant number, since it is smaller than the sum of its proper divisors (20829012372).

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

9657600876 is a wasteful number, since it uses less digits than its factorization.

9657600876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 9657600876 is about 98273.0933470602. The cubic root of 9657600876 is about 2129.5593639859.

The spelling of 9657600876 in words is "nine billion, six hundred fifty-seven million, six hundred thousand, eight hundred seventy-six".