63814382604 has 336 divisors, whose sum is σ = 213297638400. Its totient is φ = 16255323648.

The previous prime is 63814382573. The next prime is 63814382629. The reversal of 63814382604 is 40628341836.

63814382604 is a `hidden beast` number, since 6 + 3 + 8 + 1 + 4 + 38 + 2 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63814382604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6588237 + ... + 6597915.

It is an arithmetic number, because the mean of its divisors is an integer number (634814400).

Almost surely, 2^63814382604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63814382604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106648819200).

63814382604 is an abundant number, since it is smaller than the sum of its proper divisors (149483255796).

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

63814382604 is a wasteful number, since it uses less digits than its factorization.

63814382604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 63814382604 in words is "sixty-three billion, eight hundred fourteen million, three hundred eighty-two thousand, six hundred four".