9009382330080 has 768 divisors, whose sum is σ = 34809952020480. Its totient is φ = 2158125465600.

The previous prime is 9009382330019. The next prime is 9009382330139. The reversal of 9009382330080 is 800332839009.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2550063994 + ... + 2550067526.

It is an arithmetic number, because the mean of its divisors is an integer number (45325458360).

Almost surely, 2^{9009382330080} is an apocalyptic number.

9009382330080 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 9009382330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404976010240).

9009382330080 is an abundant number, since it is smaller than the sum of its proper divisors (25800569690400).

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

9009382330080 is a wasteful number, since it uses less digits than its factorization.

9009382330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 9009382330080 in words is "nine trillion, nine billion, three hundred eighty-two million, three hundred thirty thousand, eighty".