9009329280 has 256 divisors, whose sum is σ = 33149640960. Its totient is φ = 2038579200.

The previous prime is 9009329239. The next prime is 9009329281. The reversal of 9009329280 is 829239009.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9009329281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354122 + ... + 1360758.

It is an arithmetic number, because the mean of its divisors is an integer number (129490785).

Almost surely, 2^9009329280 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 9009329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574820480).

9009329280 is an abundant number, since it is smaller than the sum of its proper divisors (24140311680).

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

9009329280 is a wasteful number, since it uses less digits than its factorization.

9009329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9009329280 is about 94917.4866923898. The cubic root of 9009329280 is about 2080.8023039053.

The spelling of 9009329280 in words is "nine billion, nine million, three hundred twenty-nine thousand, two hundred eighty".