6681385200 has 360 divisors, whose sum is σ = 25065955200. Its totient is φ = 1516838400.

The previous prime is 6681385187. The next prime is 6681385213. The reversal of 6681385200 is 25831866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6681385187) and next prime (6681385213).

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, 11700915 + ... + 11701485.

Almost surely, 2^6681385200 is an apocalyptic number.

6681385200 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 6681385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532977600).

6681385200 is an abundant number, since it is smaller than the sum of its proper divisors (18384570000).

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

6681385200 is a wasteful number, since it uses less digits than its factorization.

6681385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6681385200 is about 81739.7406406455. The cubic root of 6681385200 is about 1883.4561067186.

The spelling of 6681385200 in words is "six billion, six hundred eighty-one million, three hundred eighty-five thousand, two hundred".