6825699072 has 108 divisors (see below), whose sum is σ = 19901896560. Its totient is φ = 2249601024.

The previous prime is 6825699017. The next prime is 6825699091. The reversal of 6825699072 is 2709965286.

6825699072 is a `hidden beast` number, since 6 + 8 + 2 + 569 + 9 + 0 + 72 = 666.

It is a super-2 number, since 2×6825699072² = 93180335643003322368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188413 + ... + 221699.

It is an arithmetic number, because the mean of its divisors is an integer number (184276820).

Almost surely, 2^6825699072 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 6825699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950948280).

6825699072 is an abundant number, since it is smaller than the sum of its proper divisors (13076197488).

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

6825699072 is a wasteful number, since it uses less digits than its factorization.

6825699072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33398 (or 33381 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6825699072 is about 82617.7890771715. The cubic root of 6825699072 is about 1896.9201323529.

The spelling of 6825699072 in words is "six billion, eight hundred twenty-five million, six hundred ninety-nine thousand, seventy-two".