63830630400 has 336 divisors, whose sum is σ = 220278740544. Its totient is φ = 16277831680.

The previous prime is 63830630389. The next prime is 63830630419. The reversal of 63830630400 is 403603836.

It is a super-2 number, since 2×63830630400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14128942 + ... + 14133458.

Almost surely, 2^63830630400 is an apocalyptic number.

63830630400 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 63830630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110139370272).

63830630400 is an abundant number, since it is smaller than the sum of its proper divisors (156448110144).

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

63830630400 is a wasteful number, since it uses less digits than its factorization.

63830630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 63830630400 in words is "sixty-three billion, eight hundred thirty million, six hundred thirty thousand, four hundred".