9006273360 has 400 divisors, whose sum is σ = 35956305792. Its totient is φ = 2046643200.

The previous prime is 9006273347. The next prime is 9006273371. The reversal of 9006273360 is 633726009.

It is a super-2 number, since 2×9006273360² (a number of 21 digits) contains 22 as substring.

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 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, 9570490 + ... + 9571430.

Almost surely, 2^9006273360 is an apocalyptic number.

9006273360 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 9006273360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978152896).

9006273360 is an abundant number, since it is smaller than the sum of its proper divisors (26950032432).

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

9006273360 is a wasteful number, since it uses less digits than its factorization.

9006273360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 9006273360 is about 94901.3875557149. The cubic root of 9006273360 is about 2080.5670113448.

Adding to 9006273360 its reverse (633726009), we get a palindrome (9639999369).

The spelling of 9006273360 in words is "nine billion, six million, two hundred seventy-three thousand, three hundred sixty".