6728209367040 has 2048 divisors, whose sum is σ = 29055010406400. Its totient is φ = 1444738498560.

The previous prime is 6728209367029. The next prime is 6728209367053. The reversal of 6728209367040 is 407639028276.

6728209367040 is a `hidden beast` number, since 6 + 72 + 8 + 209 + 367 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41277357999 + ... + 41277358161.

It is an arithmetic number, because the mean of its divisors is an integer number (14187016800).

Almost surely, 2^{6728209367040} is an apocalyptic number.

6728209367040 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 6728209367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14527505203200).

6728209367040 is an abundant number, since it is smaller than the sum of its proper divisors (22326801039360).

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

6728209367040 is a wasteful number, since it uses less digits than its factorization.

6728209367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6728209367040 in words is "six trillion, seven hundred twenty-eight billion, two hundred nine million, three hundred sixty-seven thousand, forty".