6825583674 has 432 divisors, whose sum is σ = 20916598248. Its totient is φ = 1588543488.

The previous prime is 6825583603. The next prime is 6825583697. The reversal of 6825583674 is 4763855286.

6825583674 is a `hidden beast` number, since 6 + 82 + 558 + 3 + 6 + 7 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5448654225 + 1376929449 = 73815^2 + 37107^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6825583674.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 70366794 + ... + 70366890.

Almost surely, 2^6825583674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825583674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458299124).

6825583674 is an abundant number, since it is smaller than the sum of its proper divisors (14091014574).

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

6825583674 is a wasteful number, since it uses less digits than its factorization.

6825583674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6825583674 is about 82617.0906895177. The cubic root of 6825583674 is about 1896.9094422623.

The spelling of 6825583674 in words is "six billion, eight hundred twenty-five million, five hundred eighty-three thousand, six hundred seventy-four".