63810349344 has 384 divisors, whose sum is σ = 218910988800. Its totient is φ = 17703567360.

The previous prime is 63810349321. The next prime is 63810349349. The reversal of 63810349344 is 44394301836.

63810349344 is a `hidden beast` number, since 638 + 1 + 0 + 3 + 4 + 9 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63810349344.

It is not an unprimeable number, because it can be changed into a prime (63810349349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 68686672 + ... + 68687600.

It is an arithmetic number, because the mean of its divisors is an integer number (570080700).

Almost surely, 2^63810349344 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 63810349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109455494400).

63810349344 is an abundant number, since it is smaller than the sum of its proper divisors (155100639456).

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

63810349344 is a wasteful number, since it uses less digits than its factorization.

63810349344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 63810349344 in words is "sixty-three billion, eight hundred ten million, three hundred forty-nine thousand, three hundred forty-four".