9002668224 has 112 divisors (see below), whose sum is σ = 26351398656. Its totient is φ = 2689612800.

The previous prime is 9002668201. The next prime is 9002668247. The reversal of 9002668224 is 4228662009.

It is an interprime number because it is at equal distance from previous prime (9002668201) and next prime (9002668247).

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, 119934 + ... + 179970.

Almost surely, 2^9002668224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175699328).

9002668224 is an abundant number, since it is smaller than the sum of its proper divisors (17348730432).

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

9002668224 is a wasteful number, since it uses less digits than its factorization.

9002668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60134 (or 60124 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 9002668224 is about 94882.3915381563. The cubic root of 9002668224 is about 2080.2893630959.

The spelling of 9002668224 in words is "nine billion, two million, six hundred sixty-eight thousand, two hundred twenty-four".