6681200400 has 360 divisors, whose sum is σ = 27066434304. Its totient is φ = 1494374400.

The previous prime is 6681200359. The next prime is 6681200411. The reversal of 6681200400 is 40021866.

It is a tau number, because it is divible by the number of its divisors (360).

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, 1181580 + ... + 1187220.

Almost surely, 2^6681200400 is an apocalyptic number.

6681200400 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 6681200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533217152).

6681200400 is an abundant number, since it is smaller than the sum of its proper divisors (20385233904).

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

6681200400 is a wasteful number, since it uses less digits than its factorization.

6681200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6681200400 is about 81738.6102157359. The cubic root of 6681200400 is about 1883.4387417617.

The spelling of 6681200400 in words is "six billion, six hundred eighty-one million, two hundred thousand, four hundred".