9917276160 has 672 divisors, whose sum is σ = 37652065920. Its totient is φ = 2220359680.

The previous prime is 9917276099. The next prime is 9917276177. The reversal of 9917276160 is 616727199.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341975026 + ... + 341975054.

It is an arithmetic number, because the mean of its divisors is an integer number (56029860).

Almost surely, 2^9917276160 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 9917276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826032960).

9917276160 is an abundant number, since it is smaller than the sum of its proper divisors (27734789760).

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

9917276160 is a wasteful number, since it uses less digits than its factorization.

9917276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The square root of 9917276160 is about 99585.5218392714. The cubic root of 9917276160 is about 2148.4774625313.

The spelling of 9917276160 in words is "nine billion, nine hundred seventeen million, two hundred seventy-six thousand, one hundred sixty".