6463163689344 has 864 divisors, whose sum is σ = 20469367376640. Its totient is φ = 1956625735680.

The previous prime is 6463163689327. The next prime is 6463163689349. The reversal of 6463163689344 is 4439863613646.

It is a happy number.

6463163689344 is a `hidden beast` number, since 6 + 463 + 1 + 63 + 6 + 89 + 34 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463163689349) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50891052609 + ... + 50891052735.

Almost surely, 2^{6463163689344} is an apocalyptic number.

6463163689344 is a gapful number since it is divisible by the number (64) 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 6463163689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234683688320).

6463163689344 is an abundant number, since it is smaller than the sum of its proper divisors (14006203687296).

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

6463163689344 is a wasteful number, since it uses less digits than its factorization.

6463163689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 253 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 63.

The spelling of 6463163689344 in words is "six trillion, four hundred sixty-three billion, one hundred sixty-three million, six hundred eighty-nine thousand, three hundred forty-four".