6504345600 has 312 divisors, whose sum is σ = 22231291392. Its totient is φ = 1676083200.

The previous prime is 6504345599. The next prime is 6504345619. The reversal of 6504345600 is 65434056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9522859 + ... + 9523541.

Almost surely, 2^6504345600 is an apocalyptic number.

6504345600 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 6504345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115645696).

6504345600 is an abundant number, since it is smaller than the sum of its proper divisors (15726945792).

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

6504345600 is a wasteful number, since it uses less digits than its factorization.

6504345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 6504345600 is about 80649.5232471960. The cubic root of 6504345600 is about 1866.6713832080.

Adding to 6504345600 its reverse (65434056), we get a palindrome (6569779656).

The spelling of 6504345600 in words is "six billion, five hundred four million, three hundred forty-five thousand, six hundred".