6825295872 has 300 divisors, whose sum is σ = 21092773240. Its totient is φ = 2197684224.

The previous prime is 6825295859. The next prime is 6825295901. The reversal of 6825295872 is 2785925286.

It is a happy number.

6825295872 is a `hidden beast` number, since 6 + 8 + 2 + 52 + 9 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4838400) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49102779 + ... + 49102917.

Almost surely, 2^6825295872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546386620).

6825295872 is an abundant number, since it is smaller than the sum of its proper divisors (14267477368).

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

6825295872 is an equidigital number, since it uses as much as digits as its factorization.

6825295872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 6825295872 is about 82615.3488886902. The cubic root of 6825295872 is about 1896.8827807083.

The spelling of 6825295872 in words is "six billion, eight hundred twenty-five million, two hundred ninety-five thousand, eight hundred seventy-two".