6463314000 has 1120 divisors, whose sum is σ = 28416181248. Its totient is φ = 1399680000.

The previous prime is 6463313981. The next prime is 6463314007. The reversal of 6463314000 is 4133646.

6463314000 is a `hidden beast` number, since 646 + 3 + 3 + 14 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×6463314000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463314007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 208493985 + ... + 208494015.

Almost surely, 2^6463314000 is an apocalyptic number.

6463314000 is a gapful number since it is divisible by the number (60) 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 6463314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208090624).

6463314000 is an abundant number, since it is smaller than the sum of its proper divisors (21952867248).

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

6463314000 is a wasteful number, since it uses less digits than its factorization.

6463314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6463314000 is about 80394.7386338186. The cubic root of 6463314000 is about 1862.7379033372.

Adding to 6463314000 its reverse (4133646), we get a palindrome (6467447646).

The spelling of 6463314000 in words is "six billion, four hundred sixty-three million, three hundred fourteen thousand".