7257676864 has 63 divisors (see below), whose sum is σ = 15087936423. Its totient is φ = 3463565952.

The previous prime is 7257676807. The next prime is 7257676889. The reversal of 7257676864 is 4686767527.

The square root of 7257676864 is 85192.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7257676799 and 7257676808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15675097 + ... + 15675559.

Almost surely, 2^7257676864 is an apocalyptic number.

7257676864 is the 85192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7257676864

7257676864 is an abundant number, since it is smaller than the sum of its proper divisors (7830259559).

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

7257676864 is an frugal number, since it uses more digits than its factorization.

7257676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 488 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 58.

The cubic root of 7257676864 is about 1936.1212102240.

The spelling of 7257676864 in words is "seven billion, two hundred fifty-seven million, six hundred seventy-six thousand, eight hundred sixty-four".