6504115200 has 264 divisors, whose sum is σ = 23453707200. Its totient is φ = 1576550400.

The previous prime is 6504115159. The next prime is 6504115217. The reversal of 6504115200 is 25114056.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 840951 + ... + 848649.

It is an arithmetic number, because the mean of its divisors is an integer number (88839800).

Almost surely, 2^6504115200 is an apocalyptic number.

6504115200 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 6504115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726853600).

6504115200 is an abundant number, since it is smaller than the sum of its proper divisors (16949592000).

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

6504115200 is a wasteful number, since it uses less digits than its factorization.

6504115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 6504115200 is about 80648.0948318062. The cubic root of 6504115200 is about 1866.6493422428.

Adding to 6504115200 its reverse (25114056), we get a palindrome (6529229256).

The spelling of 6504115200 in words is "six billion, five hundred four million, one hundred fifteen thousand, two hundred".