9079892640 has 480 divisors, whose sum is σ = 39444451200. Its totient is φ = 1915508736.

The previous prime is 9079892609. The next prime is 9079892641. The reversal of 9079892640 is 462989709.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9079892641) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1175511 + ... + 1183209.

It is an arithmetic number, because the mean of its divisors is an integer number (82175940).

Almost surely, 2^9079892640 is an apocalyptic number.

9079892640 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 9079892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19722225600).

9079892640 is an abundant number, since it is smaller than the sum of its proper divisors (30364558560).

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

9079892640 is a wasteful number, since it uses less digits than its factorization.

9079892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9079892640 is about 95288.4706562132. The cubic root of 9079892640 is about 2086.2206402525.

The spelling of 9079892640 in words is "nine billion, seventy-nine million, eight hundred ninety-two thousand, six hundred forty".