63331790400 has 504 divisors, whose sum is σ = 229497651240. Its totient is φ = 16562257920.

The previous prime is 63331790399. The next prime is 63331790437. The reversal of 63331790400 is 409713336.

63331790400 is a `hidden beast` number, since 633 + 3 + 17 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2744921664 + 60586868736 = 52392^2 + 246144^2 .

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 71 ways as a sum of consecutive naturals, for example, 246427072 + ... + 246427328.

Almost surely, 2^63331790400 is an apocalyptic number.

63331790400 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 63331790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114748825620).

63331790400 is an abundant number, since it is smaller than the sum of its proper divisors (166165860840).

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

63331790400 is a wasteful number, since it uses less digits than its factorization.

63331790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 63331790400 in words is "sixty-three billion, three hundred thirty-one million, seven hundred ninety thousand, four hundred".