63327589560768 has 448 divisors, whose sum is σ = 191839140799488. Its totient is φ = 18264321884160.

The previous prime is 63327589560673. The next prime is 63327589560773. The reversal of 63327589560768 is 86706598572336.

It is a happy number.

63327589560768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 63327589560768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12246678823 + ... + 12246683993.

It is an arithmetic number, because the mean of its divisors is an integer number (428212367856).

Almost surely, 2^{63327589560768} is an apocalyptic number.

63327589560768 is a gapful number since it is divisible by the number (68) 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 63327589560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95919570399744).

63327589560768 is an abundant number, since it is smaller than the sum of its proper divisors (128511551238720).

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

63327589560768 is a wasteful number, since it uses less digits than its factorization.

63327589560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 75.

The spelling of 63327589560768 in words is "sixty-three trillion, three hundred twenty-seven billion, five hundred eighty-nine million, five hundred sixty thousand, seven hundred sixty-eight".