6685984800 has 864 divisors, whose sum is σ = 27639480960. Its totient is φ = 1505280000.

The previous prime is 6685984783. The next prime is 6685984813. The reversal of 6685984800 is 84895866.

It is a happy number.

6685984800 is a `hidden beast` number, since 6 + 6 + 8 + 598 + 48 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94168765 + ... + 94168835.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^6685984800 is an apocalyptic number.

6685984800 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 6685984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

6685984800 is an abundant number, since it is smaller than the sum of its proper divisors (20953496160).

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

6685984800 is a wasteful number, since it uses less digits than its factorization.

6685984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 6685984800 is about 81767.8714410495. The cubic root of 6685984800 is about 1883.8882106036. Note that the first 3 decimals are identical.

The spelling of 6685984800 in words is "six billion, six hundred eighty-five million, nine hundred eighty-four thousand, eight hundred".