9633881664 has 224 divisors, whose sum is σ = 31963766400. Its totient is φ = 2818529280.

The previous prime is 9633881633. The next prime is 9633881681. The reversal of 9633881664 is 4661883369.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9633881664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542494 + ... + 559970.

Almost surely, 2^9633881664 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 9633881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981883200).

9633881664 is an abundant number, since it is smaller than the sum of its proper divisors (22329884736).

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

9633881664 is a wasteful number, since it uses less digits than its factorization.

9633881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17538 (or 17522 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 9633881664 is about 98152.3390653529. The cubic root of 9633881664 is about 2127.8145248865.

The spelling of 9633881664 in words is "nine billion, six hundred thirty-three million, eight hundred eighty-one thousand, six hundred sixty-four".