63983131200 has 840 divisors, whose sum is σ = 252201605832. Its totient is φ = 15854469120.

The previous prime is 63983131193. The next prime is 63983131213. The reversal of 63983131200 is 213138936.

63983131200 is a `hidden beast` number, since 6 + 398 + 31 + 31 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8923447296 + 55059683904 = 94464^2 + 234648^2 .

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 119 ways as a sum of consecutive naturals, for example, 248961472 + ... + 248961728.

Almost surely, 2^63983131200 is an apocalyptic number.

63983131200 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 63983131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126100802916).

63983131200 is an abundant number, since it is smaller than the sum of its proper divisors (188218474632).

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

63983131200 is a wasteful number, since it uses less digits than its factorization.

63983131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 63983131200 in words is "sixty-three billion, nine hundred eighty-three million, one hundred thirty-one thousand, two hundred".