6663412800 has 1008 divisors, whose sum is σ = 28301045760. Its totient is φ = 1469952000.

The previous prime is 6663412799. The next prime is 6663412813. The reversal of 6663412800 is 82143666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 112939171 + ... + 112939229.

Almost surely, 2^6663412800 is an apocalyptic number.

6663412800 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 6663412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150522880).

6663412800 is an abundant number, since it is smaller than the sum of its proper divisors (21637632960).

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

6663412800 is a wasteful number, since it uses less digits than its factorization.

6663412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6663412800 is about 81629.7298782741. The cubic root of 6663412800 is about 1881.7658073551.

The spelling of 6663412800 in words is "six billion, six hundred sixty-three million, four hundred twelve thousand, eight hundred".