6825984000 has 480 divisors, whose sum is σ = 25026648192. Its totient is φ = 1638400000.

The previous prime is 6825983981. The next prime is 6825984029. The reversal of 6825984000 is 4895286.

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

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 31 ways as a sum of consecutive naturals, for example, 67583950 + ... + 67584050.

Almost surely, 2^6825984000 is an apocalyptic number.

6825984000 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 6825984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513324096).

6825984000 is an abundant number, since it is smaller than the sum of its proper divisors (18200664192).

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

6825984000 is a wasteful number, since it uses less digits than its factorization.

6825984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6825984000 is about 82619.5134335709. The cubic root of 6825984000 is about 1896.9465266280.

The spelling of 6825984000 in words is "six billion, eight hundred twenty-five million, nine hundred eighty-four thousand".