63320416416 has 120 divisors (see below), whose sum is σ = 188068161204. Its totient is φ = 20897740800.

The previous prime is 63320416399. The next prime is 63320416427. The reversal of 63320416416 is 61461402336.

63320416416 is a `hidden beast` number, since 6 + 3 + 3 + 2 + 0 + 4 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63232131600 + 88284816 = 251460^2 + 9396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140856 + ... + 382728.

Almost surely, 2^63320416416 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 63320416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94034080602).

63320416416 is an abundant number, since it is smaller than the sum of its proper divisors (124747744788).

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

63320416416 is a wasteful number, since it uses less digits than its factorization.

63320416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241996 (or 241979 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 63320416416 in words is "sixty-three billion, three hundred twenty million, four hundred sixteen thousand, four hundred sixteen".