9007582668 has 48 divisors (see below), whose sum is σ = 25433178624. Its totient is φ = 2422206720.

The previous prime is 9007582637. The next prime is 9007582739. The reversal of 9007582668 is 8662857009.

It is a super-2 number, since 2×9007582668² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 9007582668.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3152488 + ... + 3155343.

It is an arithmetic number, because the mean of its divisors is an integer number (529857888).

Almost surely, 2^9007582668 is an apocalyptic number.

It is an amenable number.

9007582668 is an abundant number, since it is smaller than the sum of its proper divisors (16425595956).

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

9007582668 is a wasteful number, since it uses less digits than its factorization.

9007582668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307862 (or 6307860 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 9007582668 is about 94908.2855603240. The cubic root of 9007582668 is about 2080.6678288870.

The spelling of 9007582668 in words is "nine billion, seven million, five hundred eighty-two thousand, six hundred sixty-eight".