9924257728000 has 1280 divisors, whose sum is σ = 31970710886400. Its totient is φ = 3045482496000.

The previous prime is 9924257727973. The next prime is 9924257728003. The reversal of 9924257728000 is 8277524299.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9924257728003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17627455719 + ... + 17627456281.

It is an arithmetic number, because the mean of its divisors is an integer number (24977117880).

Almost surely, 2^{9924257728000} 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 9924257728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985355443200).

9924257728000 is an abundant number, since it is smaller than the sum of its proper divisors (22046453158400).

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

9924257728000 is an equidigital number, since it uses as much as digits as its factorization.

9924257728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 9924257728000 in words is "nine trillion, nine hundred twenty-four billion, two hundred fifty-seven million, seven hundred twenty-eight thousand".