9917913600 has 720 divisors, whose sum is σ = 41556715200. Its totient is φ = 2257920000.

The previous prime is 9917913581. The next prime is 9917913601. The reversal of 9917913600 is 63197199.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9917913601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39513475 + ... + 39513725.

It is an arithmetic number, because the mean of its divisors is an integer number (57717660).

Almost surely, 2^9917913600 is an apocalyptic number.

9917913600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778357600).

9917913600 is an abundant number, since it is smaller than the sum of its proper divisors (31638801600).

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

9917913600 is a wasteful number, since it uses less digits than its factorization.

9917913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 9917913600 is about 99588.7222530744. The cubic root of 9917913600 is about 2148.5234931857.

The spelling of 9917913600 in words is "nine billion, nine hundred seventeen million, nine hundred thirteen thousand, six hundred".