6681916800 has 576 divisors, whose sum is σ = 26667928560. Its totient is φ = 1642291200.

The previous prime is 6681916777. The next prime is 6681916817. The reversal of 6681916800 is 86191866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 10108470 + ... + 10109130.

Almost surely, 2^6681916800 is an apocalyptic number.

6681916800 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 6681916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333964280).

6681916800 is an abundant number, since it is smaller than the sum of its proper divisors (19986011760).

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

6681916800 is a wasteful number, since it uses less digits than its factorization.

6681916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6681916800 is about 81742.9923602017. The cubic root of 6681916800 is about 1883.5060573742.

The spelling of 6681916800 in words is "six billion, six hundred eighty-one million, nine hundred sixteen thousand, eight hundred".