9924645168 has 120 divisors (see below), whose sum is σ = 28422912960. Its totient is φ = 3231621120.

The previous prime is 9924645167. The next prime is 9924645173. The reversal of 9924645168 is 8615464299.

9924645168 is a `hidden beast` number, since 9 + 92 + 46 + 451 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (9924645167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1821328 + ... + 1826768.

It is an arithmetic number, because the mean of its divisors is an integer number (236857608).

Almost surely, 2^9924645168 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 9924645168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14211456480).

9924645168 is an abundant number, since it is smaller than the sum of its proper divisors (18498267792).

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

9924645168 is a wasteful number, since it uses less digits than its factorization.

9924645168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5738 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 9924645168 is about 99622.5133591800. The cubic root of 9924645168 is about 2149.0094711066.

The spelling of 9924645168 in words is "nine billion, nine hundred twenty-four million, six hundred forty-five thousand, one hundred sixty-eight".