9007026336 has 576 divisors, whose sum is σ = 33902668800. Its totient is φ = 2331866880.

The previous prime is 9007026311. The next prime is 9007026337. The reversal of 9007026336 is 6336207009.

It is a super-2 number, since 2×9007026336² (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 self number, because there is not a number n which added to its sum of digits gives 9007026336.

It is not an unprimeable number, because it can be changed into a prime (9007026337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29338695 + ... + 29339001.

It is an arithmetic number, because the mean of its divisors is an integer number (58858800).

Almost surely, 2^9007026336 is an apocalyptic number.

9007026336 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 9007026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951334400).

9007026336 is an abundant number, since it is smaller than the sum of its proper divisors (24895642464).

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

9007026336 is a wasteful number, since it uses less digits than its factorization.

9007026336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 330 counting only the distinct ones).

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

The square root of 9007026336 is about 94905.3546223816. The cubic root of 9007026336 is about 2080.6249921657.

The spelling of 9007026336 in words is "nine billion, seven million, twenty-six thousand, three hundred thirty-six".