6825991680 has 480 divisors, whose sum is σ = 25738352640. Its totient is φ = 1665515520.

The previous prime is 6825991651. The next prime is 6825991687. The reversal of 6825991680 is 861995286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825991687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13570309 + ... + 13570811.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^6825991680 is an apocalyptic number.

6825991680 is a gapful number since it is divisible by the number (60) 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 6825991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

6825991680 is an abundant number, since it is smaller than the sum of its proper divisors (18912360960).

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

6825991680 is a wasteful number, since it uses less digits than its factorization.

6825991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 6825991680 is about 82619.5599116819. The cubic root of 6825991680 is about 1896.9472380539.

The spelling of 6825991680 in words is "six billion, eight hundred twenty-five million, nine hundred ninety-one thousand, six hundred eighty".