764573611201 has 9 divisors (see below), whose sum is σ = 806949794403. Its totient is φ = 724317155640.

The previous prime is 764573611171. The next prime is 764573611259. The reversal of 764573611201 is 102116375467.

The square root of 764573611201 is 874399.

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

It can be written as a sum of positive squares in only one way, i.e., 749694490801 + 14879120400 = 865849^2 + 121980^2 .

It is not a de Polignac number, because 764573611201 - 2¹³ = 764573603009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (764573611261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16590571 + ... + 16636591.

It is an arithmetic number, because the mean of its divisors is an integer number (89661088267).

Almost surely, 2^764573611201 is an apocalyptic number.

764573611201 is the 874399-th square number.

764573611201 is the 437200-th centered octagonal number.

It is an amenable number.

764573611201 is a deficient number, since it is larger than the sum of its proper divisors (42376183202).

764573611201 is an frugal number, since it uses more digits than its factorization.

764573611201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92080 (or 46040 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

Adding to 764573611201 its reverse (102116375467), we get a palindrome (866689986668).

The spelling of 764573611201 in words is "seven hundred sixty-four billion, five hundred seventy-three million, six hundred eleven thousand, two hundred one".