63325355352336 has 720 divisors, whose sum is σ = 238894643782080. Its totient is φ = 15880917749760.

The previous prime is 63325355352319. The next prime is 63325355352379.

63325355352336 is a `hidden beast` number, since 6 + 3 + 3 + 2 + 5 + 3 + 553 + 52 + 3 + 36 = 666.

63325355352336 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 195663480 + ... + 195986856.

It is an arithmetic number, because the mean of its divisors is an integer number (331798116364).

Almost surely, 2^{63325355352336} is an apocalyptic number.

63325355352336 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 63325355352336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119447321891040).

63325355352336 is an abundant number, since it is smaller than the sum of its proper divisors (175569288429744).

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

63325355352336 is a wasteful number, since it uses less digits than its factorization.

63325355352336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323477 (or 323429 counting only the distinct ones).

The product of its digits is 65610000, while the sum is 54.

The spelling of 63325355352336 in words is "sixty-three trillion, three hundred twenty-five billion, three hundred fifty-five million, three hundred fifty-two thousand, three hundred thirty-six".