6766423525225 has 81 divisors (see below), whose sum is σ = 10570608681327. Its totient is φ = 4282173866880.

The previous prime is 6766423525159. The next prime is 6766423525261. The reversal of 6766423525225 is 5225253246676.

The square root of 6766423525225 is 2601235.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6029868225241 + 736555299984 = 2455579^2 + 858228^2 .

It is not a de Polignac number, because 6766423525225 - 2¹⁹ = 6766423000937 is a prime.

It is a super-2 number, since 2×6766423525225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1183559067 + ... + 1183564783.

Almost surely, 2^{6766423525225} is an apocalyptic number.

6766423525225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6766423525225 is the 2601235-th square number.

6766423525225 is the 1300618-th centered octagonal number.

It is an amenable number.

6766423525225 is a deficient number, since it is larger than the sum of its proper divisors (3804185156102).

6766423525225 is an frugal number, since it uses more digits than its factorization.

6766423525225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484 (or 5742 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 55.

The spelling of 6766423525225 in words is "six trillion, seven hundred sixty-six billion, four hundred twenty-three million, five hundred twenty-five thousand, two hundred twenty-five".