6825973824 has 336 divisors, whose sum is σ = 21682252800. Its totient is φ = 2043740160.

The previous prime is 6825973813. The next prime is 6825973829. The reversal of 6825973824 is 4283795286.

6825973824 is a `hidden beast` number, since 6 + 8 + 259 + 7 + 382 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5806080) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (6825973829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34301277 + ... + 34301475.

Almost surely, 2^6825973824 is an apocalyptic number.

6825973824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841126400).

6825973824 is an abundant number, since it is smaller than the sum of its proper divisors (14856278976).

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

6825973824 is a wasteful number, since it uses less digits than its factorization.

6825973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 6825973824 is about 82619.4518500335. The cubic root of 6825973824 is about 1896.9455839880.

The spelling of 6825973824 in words is "six billion, eight hundred twenty-five million, nine hundred seventy-three thousand, eight hundred twenty-four".