6504641728 has 112 divisors (see below), whose sum is σ = 14781239424. Its totient is φ = 2813460480.

The previous prime is 6504641719. The next prime is 6504641747. The reversal of 6504641728 is 8271464056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832176 + ... + 3833872.

It is an arithmetic number, because the mean of its divisors is an integer number (131975352).

Almost surely, 2^6504641728 is an apocalyptic number.

6504641728 is a gapful number since it is divisible by the number (68) 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 6504641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390619712).

6504641728 is an abundant number, since it is smaller than the sum of its proper divisors (8276597696).

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

6504641728 is a wasteful number, since it uses less digits than its factorization.

6504641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 6504641728 is about 80651.3591206001. The cubic root of 6504641728 is about 1866.6997112064.

The spelling of 6504641728 in words is "six billion, five hundred four million, six hundred forty-one thousand, seven hundred twenty-eight".