9253764864 has 288 divisors, whose sum is σ = 29747558400. Its totient is φ = 2826731520.

The previous prime is 9253764859. The next prime is 9253764893. The reversal of 9253764864 is 4684673529.

9253764864 is a `hidden beast` number, since 9 + 2 + 537 + 6 + 48 + 64 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9253764864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070032 + ... + 4072304.

Almost surely, 2^9253764864 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 9253764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873779200).

9253764864 is an abundant number, since it is smaller than the sum of its proper divisors (20493793536).

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

9253764864 is a wasteful number, since it uses less digits than its factorization.

9253764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2328 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 9253764864 is about 96196.4909131305. The cubic root of 9253764864 is about 2099.4529840542.

The spelling of 9253764864 in words is "nine billion, two hundred fifty-three million, seven hundred sixty-four thousand, eight hundred sixty-four".