9007146720 has 1152 divisors, whose sum is σ = 39943507968. Its totient is φ = 1813708800.

The previous prime is 9007146671. The next prime is 9007146739. The reversal of 9007146720 is 276417009.

It is a happy number.

It is a super-2 number, since 2×9007146720² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108519799 + ... + 108519881.

It is an arithmetic number, because the mean of its divisors is an integer number (34673184).

Almost surely, 2^9007146720 is an apocalyptic number.

9007146720 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 9007146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971753984).

9007146720 is an abundant number, since it is smaller than the sum of its proper divisors (30936361248).

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

9007146720 is a wasteful number, since it uses less digits than its factorization.

9007146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9007146720 is about 94905.9888521267. The cubic root of 9007146720 is about 2080.6342617009.

The spelling of 9007146720 in words is "nine billion, seven million, one hundred forty-six thousand, seven hundred twenty".