63352838016 has 384 divisors, whose sum is σ = 209059200000. Its totient is φ = 18858977280.

The previous prime is 63352837997. The next prime is 63352838033. The reversal of 63352838016 is 61083825336.

63352838016 is a `hidden beast` number, since 6 + 33 + 528 + 3 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18104235 + ... + 18107733.

It is an arithmetic number, because the mean of its divisors is an integer number (544425000).

Almost surely, 2^63352838016 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 63352838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104529600000).

63352838016 is an abundant number, since it is smaller than the sum of its proper divisors (145706361984).

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

63352838016 is a wasteful number, since it uses less digits than its factorization.

63352838016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 63352838016 in words is "sixty-three billion, three hundred fifty-two million, eight hundred thirty-eight thousand, sixteen".