9007412736 has 160 divisors (see below), whose sum is σ = 29038141440. Its totient is φ = 2422112256.

The previous prime is 9007412723. The next prime is 9007412741. The reversal of 9007412736 is 6372147009.

It is a super-2 number, since 2×9007412736² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9007412694 and 9007412703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158145 + ... + 207423.

It is an arithmetic number, because the mean of its divisors is an integer number (181488384).

Almost surely, 2^9007412736 is an apocalyptic number.

9007412736 is a gapful number since it is divisible by the number (96) 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 9007412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519070720).

9007412736 is an abundant number, since it is smaller than the sum of its proper divisors (20030728704).

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

9007412736 is a wasteful number, since it uses less digits than its factorization.

9007412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49324 (or 49308 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 9007412736 is about 94907.3903128729. The cubic root of 9007412736 is about 2080.6547445675.

The spelling of 9007412736 in words is "nine billion, seven million, four hundred twelve thousand, seven hundred thirty-six".