6504825600 has 1296 divisors, whose sum is σ = 30721908672. Its totient is φ = 1274019840.

The previous prime is 6504825577. The next prime is 6504825601. The reversal of 6504825600 is 65284056.

6504825600 is a `hidden beast` number, since 6 + 5 + 0 + 48 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6504825601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89107164 + ... + 89107236.

Almost surely, 2^6504825600 is an apocalyptic number.

6504825600 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 6504825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360954336).

6504825600 is an abundant number, since it is smaller than the sum of its proper divisors (24217083072).

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

6504825600 is a wasteful number, since it uses less digits than its factorization.

6504825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6504825600 is about 80652.4990313381. The cubic root of 6504825600 is about 1866.7173002138.

The spelling of 6504825600 in words is "six billion, five hundred four million, eight hundred twenty-five thousand, six hundred".