6792822427725 has 72 divisors (see below), whose sum is σ = 12221184247272. Its totient is φ = 3606620774400.

The previous prime is 6792822427687. The next prime is 6792822427801. The reversal of 6792822427725 is 5277242282976.

6792822427725 is a `hidden beast` number, since 67 + 9 + 2 + 82 + 2 + 427 + 72 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 910310626404 + 5882511801321 = 954102^2 + 2425389^2 .

It is not a de Polignac number, because 6792822427725 - 2¹⁰ = 6792822426701 is a prime.

It is a super-4 number, since 4×6792822427725⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427832487 + ... + 427848363.

It is an arithmetic number, because the mean of its divisors is an integer number (169738670101).

Almost surely, 2^{6792822427725} is an apocalyptic number.

It is an amenable number.

6792822427725 is a deficient number, since it is larger than the sum of its proper divisors (5428361819547).

6792822427725 is a wasteful number, since it uses less digits than its factorization.

6792822427725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24287 (or 24279 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 6792822427725 in words is "six trillion, seven hundred ninety-two billion, eight hundred twenty-two million, four hundred twenty-seven thousand, seven hundred twenty-five".