6504476000 has 288 divisors, whose sum is σ = 17881456320. Its totient is φ = 2323200000.

The previous prime is 6504475993. The next prime is 6504476021. The reversal of 6504476000 is 6744056.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43075925 + ... + 43076075.

It is an arithmetic number, because the mean of its divisors is an integer number (62088390).

Almost surely, 2^6504476000 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 6504476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940728160).

6504476000 is an abundant number, since it is smaller than the sum of its proper divisors (11376980320).

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

6504476000 is a wasteful number, since it uses less digits than its factorization.

6504476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 6504476000 is about 80650.3316794172. The cubic root of 6504476000 is about 1866.6838575514.

The spelling of 6504476000 in words is "six billion, five hundred four million, four hundred seventy-six thousand".