9792144000 has 512 divisors, whose sum is σ = 37997856000. Its totient is φ = 2471731200.

The previous prime is 9792143951. The next prime is 9792144053. The reversal of 9792144000 is 4412979.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207404 + ... + 8208596.

Almost surely, 2^9792144000 is an apocalyptic number.

9792144000 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 9792144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998928000).

9792144000 is an abundant number, since it is smaller than the sum of its proper divisors (28205712000).

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

9792144000 is a wasteful number, since it uses less digits than its factorization.

9792144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9792144000 is about 98955.2626190240. The cubic root of 9792144000 is about 2139.4029836625.

Adding to 9792144000 its reverse (4412979), we get a palindrome (9796556979).

The spelling of 9792144000 in words is "nine billion, seven hundred ninety-two million, one hundred forty-four thousand".