3663406666800 has 420 divisors, whose sum is σ = 13890510686280. Its totient is φ = 925490810880.

The previous prime is 3663406666769. The next prime is 3663406666811. The reversal of 3663406666800 is 86666043663.

It is a super-4 number, since 4×3663406666800⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5209792 + ... + 5871008.

Almost surely, 2^{3663406666800} is an apocalyptic number.

3663406666800 is a gapful number since it is divisible by the number (30) 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 3663406666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945255343140).

3663406666800 is an abundant number, since it is smaller than the sum of its proper divisors (10227104019480).

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

3663406666800 is a wasteful number, since it uses less digits than its factorization.

3663406666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661272 (or 661246 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 3663406666800 in words is "three trillion, six hundred sixty-three billion, four hundred six million, six hundred sixty-six thousand, eight hundred".