9724924800 has 480 divisors, whose sum is σ = 38015334720. Its totient is φ = 2439659520.

The previous prime is 9724924739. The next prime is 9724924871. The reversal of 9724924800 is 84294279.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4405297 + ... + 4407503.

It is an arithmetic number, because the mean of its divisors is an integer number (79198614).

Almost surely, 2^9724924800 is an apocalyptic number.

9724924800 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 9724924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007667360).

9724924800 is an abundant number, since it is smaller than the sum of its proper divisors (28290409920).

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

9724924800 is a wasteful number, since it uses less digits than its factorization.

9724924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9724924800 is about 98615.0333367078. The cubic root of 9724924800 is about 2134.4963536931.

The spelling of 9724924800 in words is "nine billion, seven hundred twenty-four million, nine hundred twenty-four thousand, eight hundred".