6683644800 has 768 divisors, whose sum is σ = 28716019200. Its totient is φ = 1486356480.

The previous prime is 6683644777. The next prime is 6683644811. The reversal of 6683644800 is 84463866.

It is a super-2 number, since 2×6683644800² = 89342215625134080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26006272 + ... + 26006528.

It is an arithmetic number, because the mean of its divisors is an integer number (37390650).

Almost surely, 2^6683644800 is an apocalyptic number.

6683644800 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 6683644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358009600).

6683644800 is an abundant number, since it is smaller than the sum of its proper divisors (22032374400).

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

6683644800 is a wasteful number, since it uses less digits than its factorization.

6683644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6683644800 is about 81753.5613903150. The cubic root of 6683644800 is about 1883.6684068936.

The spelling of 6683644800 in words is "six billion, six hundred eighty-three million, six hundred forty-four thousand, eight hundred".