763656564 has 48 divisors (see below), whose sum is σ = 1985227776. Its totient is φ = 226485600.

The previous prime is 763656527. The next prime is 763656583. The reversal of 763656564 is 465656367.

763656564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×763656564³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55342 + ... + 67749.

It is an arithmetic number, because the mean of its divisors is an integer number (41358912).

Almost surely, 2^763656564 is an apocalyptic number.

It is an amenable number.

763656564 is an abundant number, since it is smaller than the sum of its proper divisors (1221571212).

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

763656564 is a wasteful number, since it uses less digits than its factorization.

763656564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123156 (or 123154 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The square root of 763656564 is about 27634.3366846393. The cubic root of 763656564 is about 914.0417427671.

The spelling of 763656564 in words is "seven hundred sixty-three million, six hundred fifty-six thousand, five hundred sixty-four".