9917226624 has 256 divisors, whose sum is σ = 30167683200. Its totient is φ = 2866544640.

The previous prime is 9917226623. The next prime is 9917226637. The reversal of 9917226624 is 4266227199.

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

It is not an unprimeable number, because it can be changed into a prime (9917226623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4588104 + ... + 4590264.

Almost surely, 2^9917226624 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 9917226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083841600).

9917226624 is an abundant number, since it is smaller than the sum of its proper divisors (20250456576).

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

9917226624 is a wasteful number, since it uses less digits than its factorization.

9917226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2239 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 9917226624 is about 99585.2731281087. The cubic root of 9917226624 is about 2148.4738853678.

The spelling of 9917226624 in words is "nine billion, nine hundred seventeen million, two hundred twenty-six thousand, six hundred twenty-four".