63643309632 has 448 divisors, whose sum is σ = 229261294080. Its totient is φ = 17109688320.

The previous prime is 63643309589. The next prime is 63643309651. The reversal of 63643309632 is 23690334636.

63643309632 is a `hidden beast` number, since 6 + 3 + 6 + 4 + 3 + 3 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 16654282 + ... + 16658102.

It is an arithmetic number, because the mean of its divisors is an integer number (511743960).

Almost surely, 2^63643309632 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 63643309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114630647040).

63643309632 is an abundant number, since it is smaller than the sum of its proper divisors (165617984448).

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

63643309632 is an equidigital number, since it uses as much as digits as its factorization.

63643309632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 63643309632 in words is "sixty-three billion, six hundred forty-three million, three hundred nine thousand, six hundred thirty-two".