8957607264 has 120 divisors (see below), whose sum is σ = 26957062440. Its totient is φ = 2916393984.

The previous prime is 8957607259. The next prime is 8957607287. The reversal of 8957607264 is 4627067598.

8957607264 is a `hidden beast` number, since 8 + 9 + 5 + 7 + 607 + 26 + 4 = 666.

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 8957607264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71272 + ... + 151640.

It is an arithmetic number, because the mean of its divisors is an integer number (224642187).

Almost surely, 2^8957607264 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 8957607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478531220).

8957607264 is an abundant number, since it is smaller than the sum of its proper divisors (17999455176).

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

8957607264 is a wasteful number, since it uses less digits than its factorization.

8957607264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80434 (or 80417 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 8957607264 is about 94644.6367418672. The cubic root of 8957607264 is about 2076.8127393463.

The spelling of 8957607264 in words is "eight billion, nine hundred fifty-seven million, six hundred seven thousand, two hundred sixty-four".