9792368640 has 260 divisors, whose sum is σ = 35109116064. Its totient is φ = 2610855936.

The previous prime is 9792368639. The next prime is 9792368711. The reversal of 9792368640 is 468632979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 1655929 + ... + 1661831.

Almost surely, 2^9792368640 is an apocalyptic number.

9792368640 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 9792368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554558032).

9792368640 is an abundant number, since it is smaller than the sum of its proper divisors (25316747424).

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

9792368640 is an equidigital number, since it uses as much as digits as its factorization.

9792368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9792368640 is about 98956.3976708934. The cubic root of 9792368640 is about 2139.4193434372.

The spelling of 9792368640 in words is "nine billion, seven hundred ninety-two million, three hundred sixty-eight thousand, six hundred forty".