9929322624 has 128 divisors (see below), whose sum is σ = 28462553280. Its totient is φ = 3048837120.

The previous prime is 9929322587. The next prime is 9929322629. The reversal of 9929322624 is 4262239299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 (9929322629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778759 + ... + 2782329.

Almost surely, 2^9929322624 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 9929322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231276640).

9929322624 is an abundant number, since it is smaller than the sum of its proper divisors (18533230656).

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

9929322624 is a wasteful number, since it uses less digits than its factorization.

9929322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4146 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 9929322624 is about 99645.9864921814. The cubic root of 9929322624 is about 2149.3470253581.

The spelling of 9929322624 in words is "nine billion, nine hundred twenty-nine million, three hundred twenty-two thousand, six hundred twenty-four".