6833764537609 has 27 divisors (see below), whose sum is σ = 7151712353877. Its totient is φ = 6529679116128.

The previous prime is 6833764537597. The next prime is 6833764537619. The reversal of 6833764537609 is 9067354673386.

The square root of 6833764537609 is 2614147.

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

6833764537609 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 345740472009 + 6488024065600 = 587997^2 + 2547160^2 .

It is not a de Polignac number, because 6833764537609 - 2⁵ = 6833764537577 is a prime.

It is a super-3 number, since 3×6833764537609³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6833764537619) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8263318254 + ... + 8263319080.

Almost surely, 2^{6833764537609} is an apocalyptic number.

6833764537609 is the 2614147-th square number.

6833764537609 is the 1307074-th centered octagonal number.

It is an amenable number.

6833764537609 is a deficient number, since it is larger than the sum of its proper divisors (317947816268).

6833764537609 is an frugal number, since it uses more digits than its factorization.

6833764537609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 67.

The spelling of 6833764537609 in words is "six trillion, eight hundred thirty-three billion, seven hundred sixty-four million, five hundred thirty-seven thousand, six hundred nine".