63405657216 has 288 divisors, whose sum is σ = 201656555100. Its totient is φ = 19108024320.

The previous prime is 63405657191. The next prime is 63405657233. The reversal of 63405657216 is 61275650436.

63405657216 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 565 + 72 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48593793600 + 14811863616 = 220440^2 + 121704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27459070 + ... + 27461378.

Almost surely, 2^63405657216 is an apocalyptic number.

63405657216 is a gapful number since it is divisible by the number (66) 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 63405657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100828277550).

63405657216 is an abundant number, since it is smaller than the sum of its proper divisors (138250897884).

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

63405657216 is a wasteful number, since it uses less digits than its factorization.

63405657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 63405657216 in words is "sixty-three billion, four hundred five million, six hundred fifty-seven thousand, two hundred sixteen".