9917002368 has 640 divisors, whose sum is σ = 37985713920. Its totient is φ = 2496282624.

The previous prime is 9917002363. The next prime is 9917002493. The reversal of 9917002368 is 8632007199.

It is not an unprimeable number, because it can be changed into a prime (9917002363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21699996 + ... + 21700452.

It is an arithmetic number, because the mean of its divisors is an integer number (59352678).

Almost surely, 2^9917002368 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 9917002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992856960).

9917002368 is an abundant number, since it is smaller than the sum of its proper divisors (28068711552).

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

9917002368 is a wasteful number, since it uses less digits than its factorization.

9917002368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9917002368 is about 99584.1471721278. The cubic root of 9917002368 is about 2148.4576909279.

The spelling of 9917002368 in words is "nine billion, nine hundred seventeen million, two thousand, three hundred sixty-eight".