9022641264 has 720 divisors, whose sum is σ = 34577786880. Its totient is φ = 2168570880.

The previous prime is 9022641259. The next prime is 9022641289. The reversal of 9022641264 is 4621462209.

9022641264 is a `hidden beast` number, since 9 + 0 + 2 + 2 + 641 + 2 + 6 + 4 = 666.

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 143 ways as a sum of consecutive naturals, for example, 54027709 + ... + 54027875.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^9022641264 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 9022641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288893440).

9022641264 is an abundant number, since it is smaller than the sum of its proper divisors (25555145616).

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

9022641264 is a wasteful number, since it uses less digits than its factorization.

9022641264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9022641264 is about 94987.5847887502. The cubic root of 9022641264 is about 2081.8266485793.

The spelling of 9022641264 in words is "nine billion, twenty-two million, six hundred forty-one thousand, two hundred sixty-four".