9917826960 has 40 divisors (see below), whose sum is σ = 30745264320. Its totient is φ = 2644753792.

The previous prime is 9917826943. The next prime is 9917827021. The reversal of 9917826960 is 696287199.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 9917826960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20661900 + ... + 20662379.

It is an arithmetic number, because the mean of its divisors is an integer number (768631608).

Almost surely, 2^9917826960 is an apocalyptic number.

It is an amenable number.

9917826960 is an abundant number, since it is smaller than the sum of its proper divisors (20827437360).

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

9917826960 is a wasteful number, since it uses less digits than its factorization.

9917826960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41324295 (or 41324289 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The square root of 9917826960 is about 99588.2872631114. The cubic root of 9917826960 is about 2148.5172368759.

The spelling of 9917826960 in words is "nine billion, nine hundred seventeen million, eight hundred twenty-six thousand, nine hundred sixty".