9009221760 has 1280 divisors, whose sum is σ = 41871962880. Its totient is φ = 1791590400.

The previous prime is 9009221731. The next prime is 9009221813. The reversal of 9009221760 is 671229009.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147692130 + ... + 147692190.

It is an arithmetic number, because the mean of its divisors is an integer number (32712471).

Almost surely, 2^9009221760 is an apocalyptic number.

9009221760 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 9009221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935981440).

9009221760 is an abundant number, since it is smaller than the sum of its proper divisors (32862741120).

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

9009221760 is a wasteful number, since it uses less digits than its factorization.

9009221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9009221760 is about 94916.9203040217. The cubic root of 9009221760 is about 2080.7940262357.

The spelling of 9009221760 in words is "nine billion, nine million, two hundred twenty-one thousand, seven hundred sixty".