6463104800 has 72 divisors (see below), whose sum is σ = 15806082096. Its totient is φ = 2580650240.

The previous prime is 6463104799. The next prime is 6463104821. The reversal of 6463104800 is 84013646.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 462719 + ... + 476481.

It is an arithmetic number, because the mean of its divisors is an integer number (219528918).

Almost surely, 2^6463104800 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 6463104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903041048).

6463104800 is an abundant number, since it is smaller than the sum of its proper divisors (9342977296).

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

6463104800 is a wasteful number, since it uses less digits than its factorization.

6463104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 6463104800 is about 80393.4375431229. The cubic root of 6463104800 is about 1862.7178058571.

The spelling of 6463104800 in words is "six billion, four hundred sixty-three million, one hundred four thousand, eight hundred".