6463503200 has 288 divisors, whose sum is σ = 19794233088. Its totient is φ = 2002176000.

The previous prime is 6463503191. The next prime is 6463503203. The reversal of 6463503200 is 23053646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463503203) 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, 19527035 + ... + 19527365.

It is an arithmetic number, because the mean of its divisors is an integer number (68729976).

Almost surely, 2^6463503200 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 6463503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897116544).

6463503200 is an abundant number, since it is smaller than the sum of its proper divisors (13330729888).

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

6463503200 is a wasteful number, since it uses less digits than its factorization.

6463503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 6463503200 is about 80395.9153191255. The cubic root of 6463503200 is about 1862.7560790787.

Adding to 6463503200 its reverse (23053646), we get a palindrome (6486556846).

The spelling of 6463503200 in words is "six billion, four hundred sixty-three million, five hundred three thousand, two hundred".