9002997360 has 540 divisors, whose sum is σ = 37404322488. Its totient is φ = 1934585856.

The previous prime is 9002997347. The next prime is 9002997431. The reversal of 9002997360 is 637992009.

It is a super-2 number, since 2×9002997360² (a number of 21 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 10195479 + ... + 10196361.

Almost surely, 2^9002997360 is an apocalyptic number.

9002997360 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 9002997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18702161244).

9002997360 is an abundant number, since it is smaller than the sum of its proper divisors (28401325128).

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

9002997360 is a wasteful number, since it uses less digits than its factorization.

9002997360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9002997360 is about 94884.1259642518. The cubic root of 9002997360 is about 2080.3147144606.

The spelling of 9002997360 in words is "nine billion, two million, nine hundred ninety-seven thousand, three hundred sixty".