8925207264 has 288 divisors, whose sum is σ = 28174438656. Its totient is φ = 2769500160.

The previous prime is 8925207257. The next prime is 8925207271. The reversal of 8925207264 is 4627025298.

It is an interprime number because it is at equal distance from previous prime (8925207257) and next prime (8925207271).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14144229 + ... + 14144859.

It is an arithmetic number, because the mean of its divisors is an integer number (97827912).

Almost surely, 2^8925207264 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 8925207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087219328).

8925207264 is an abundant number, since it is smaller than the sum of its proper divisors (19249231392).

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

8925207264 is a wasteful number, since it uses less digits than its factorization.

8925207264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8925207264 is about 94473.3150895003. The cubic root of 8925207264 is about 2074.3057445352.

The spelling of 8925207264 in words is "eight billion, nine hundred twenty-five million, two hundred seven thousand, two hundred sixty-four".