7257633264 has 160 divisors (see below), whose sum is σ = 24629376000. Its totient is φ = 2002081536.

The previous prime is 7257633221. The next prime is 7257633289. The reversal of 7257633264 is 4623367527.

7257633264 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 633 + 2 + 6 + 4 = 666.

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, 46317 + ... + 129075.

It is an arithmetic number, because the mean of its divisors is an integer number (153933600).

Almost surely, 2^7257633264 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 7257633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314688000).

7257633264 is an abundant number, since it is smaller than the sum of its proper divisors (17371742736).

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

7257633264 is a wasteful number, since it uses less digits than its factorization.

7257633264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82812 (or 82800 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 7257633264 is about 85191.7441070436. The cubic root of 7257633264 is about 1936.1173331775.

The spelling of 7257633264 in words is "seven billion, two hundred fifty-seven million, six hundred thirty-three thousand, two hundred sixty-four".