63864319680 has 672 divisors, whose sum is σ = 261280656000. Its totient is φ = 14008909824.

The previous prime is 63864319669. The next prime is 63864319699. The reversal of 63864319680 is 8691346836.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 182992146 + ... + 182992494.

It is an arithmetic number, because the mean of its divisors is an integer number (388810500).

Almost surely, 2^63864319680 is an apocalyptic number.

63864319680 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 63864319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130640328000).

63864319680 is an abundant number, since it is smaller than the sum of its proper divisors (197416336320).

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

63864319680 is a wasteful number, since it uses less digits than its factorization.

63864319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 63864319680 in words is "sixty-three billion, eight hundred sixty-four million, three hundred nineteen thousand, six hundred eighty".