6463883646 has 96 divisors (see below), whose sum is σ = 16216062240. Its totient is φ = 1905742080.

The previous prime is 6463883641. The next prime is 6463883651.

6463883646 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6463883641) and next prime (6463883651).

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

It is a junction number, because it is equal to n+sod(n) for n = 6463883592 and 6463883601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463883641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228390 + ... + 255126.

It is an arithmetic number, because the mean of its divisors is an integer number (168917315).

Almost surely, 2^6463883646 is an apocalyptic number.

6463883646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6463883646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108031120).

6463883646 is an abundant number, since it is smaller than the sum of its proper divisors (9752178594).

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

6463883646 is a wasteful number, since it uses less digits than its factorization.

6463883646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807 (or 26790 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 6463883646 is about 80398.2813622281. The cubic root of 6463883646 is about 1862.7926260395.

The spelling of 6463883646 in words is "six billion, four hundred sixty-three million, eight hundred eighty-three thousand, six hundred forty-six".