6581802728448 has 528 divisors, whose sum is σ = 19985227167360. Its totient is φ = 2163345408000.

The previous prime is 6581802728441. The next prime is 6581802728467. The reversal of 6581802728448 is 8448272081856.

6581802728448 is a `hidden beast` number, since 6 + 5 + 8 + 180 + 2 + 7 + 2 + 8 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581802728441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9525039783 + ... + 9525040473.

Almost surely, 2^{6581802728448} 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 6581802728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992613583680).

6581802728448 is an abundant number, since it is smaller than the sum of its proper divisors (13403424438912).

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

6581802728448 is a wasteful number, since it uses less digits than its factorization.

6581802728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 6581802728448 in words is "six trillion, five hundred eighty-one billion, eight hundred two million, seven hundred twenty-eight thousand, four hundred forty-eight".