764133564 has 96 divisors (see below), whose sum is σ = 1968341760. Its totient is φ = 229824000.

The previous prime is 764133563. The next prime is 764133569. The reversal of 764133564 is 465331467.

764133564 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 3×764133564³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764133563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401014 + ... + 402914.

It is an arithmetic number, because the mean of its divisors is an integer number (20503560).

Almost surely, 2^764133564 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 764133564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984170880).

764133564 is an abundant number, since it is smaller than the sum of its proper divisors (1204208196).

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

764133564 is a wasteful number, since it uses less digits than its factorization.

764133564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2009 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 764133564 is about 27642.9659045479. The cubic root of 764133564 is about 914.2320146707.

The spelling of 764133564 in words is "seven hundred sixty-four million, one hundred thirty-three thousand, five hundred sixty-four".