6728244082560 has 5120 divisors, whose sum is σ = 35471026483200. Its totient is φ = 1168276193280.

The previous prime is 6728244082541. The next prime is 6728244082613. The reversal of 6728244082560 is 652804428276.

6728244082560 is a `hidden beast` number, since 6 + 72 + 8 + 2 + 4 + 4 + 0 + 8 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6728244082497 and 6728244082506.

It is a congruent number.

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 25582676989 + ... + 25582677251.

It is an arithmetic number, because the mean of its divisors is an integer number (6927934860).

Almost surely, 2^{6728244082560} is an apocalyptic number.

6728244082560 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 6728244082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735513241600).

6728244082560 is an abundant number, since it is smaller than the sum of its proper divisors (28742782400640).

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

6728244082560 is a wasteful number, since it uses less digits than its factorization.

6728244082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 6728244082560 in words is "six trillion, seven hundred twenty-eight billion, two hundred forty-four million, eighty-two thousand, five hundred sixty".