6509728000 has 72 divisors (see below), whose sum is σ = 16216625880. Its totient is φ = 2603878400.

The previous prime is 6509727949. The next prime is 6509728039. The reversal of 6509728000 is 8279056.

It can be written as a sum of positive squares in 4 ways, for example, as 1800474624 + 4709253376 = 42432^2 + 68624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69715 + ... + 133714.

It is an arithmetic number, because the mean of its divisors is an integer number (225230915).

Almost surely, 2^6509728000 is an apocalyptic number.

It is an amenable number.

6509728000 is an abundant number, since it is smaller than the sum of its proper divisors (9706897880).

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

6509728000 is an equidigital number, since it uses as much as digits as its factorization.

6509728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203460 (or 203436 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 6509728000 is about 80682.8854218787. The cubic root of 6509728000 is about 1867.1861366038.

The spelling of 6509728000 in words is "six billion, five hundred nine million, seven hundred twenty-eight thousand".