63801568512 has 288 divisors, whose sum is σ = 207848309760. Its totient is φ = 19143751680.

The previous prime is 63801568483. The next prime is 63801568517. The reversal of 63801568512 is 21586510836.

63801568512 is a `hidden beast` number, since 6 + 3 + 80 + 1 + 56 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63801568517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7827223 + ... + 7835369.

It is an arithmetic number, because the mean of its divisors is an integer number (721695520).

Almost surely, 2^63801568512 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 63801568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103924154880).

63801568512 is an abundant number, since it is smaller than the sum of its proper divisors (144046741248).

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

63801568512 is a wasteful number, since it uses less digits than its factorization.

63801568512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 63801568512 in words is "sixty-three billion, eight hundred one million, five hundred sixty-eight thousand, five hundred twelve".