63426917631168 has 1008 divisors, whose sum is σ = 230837348982240. Its totient is φ = 16501956968448.

The previous prime is 63426917631163. The next prime is 63426917631191. The reversal of 63426917631168 is 86113671962436.

It is a happy number.

63426917631168 is a `hidden beast` number, since 6 + 3 + 426 + 9 + 17 + 6 + 31 + 168 = 666.

63426917631168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63426917631163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30362333868 + ... + 30362335956.

It is an arithmetic number, because the mean of its divisors is an integer number (229005306530).

Almost surely, 2^{63426917631168} 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 63426917631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115418674491120).

63426917631168 is an abundant number, since it is smaller than the sum of its proper divisors (167410431351072).

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

63426917631168 is a wasteful number, since it uses less digits than its factorization.

63426917631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3194 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 63426917631168 in words is "sixty-three trillion, four hundred twenty-six billion, nine hundred seventeen million, six hundred thirty-one thousand, one hundred sixty-eight".