6728417280000 has 1710 divisors, whose sum is σ = 27275492207964. Its totient is φ = 1656225792000.

The previous prime is 6728417279957. The next prime is 6728417280019. The reversal of 6728417280000 is 827148276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 517570559994 + ... + 517570560006.

Almost surely, 2^{6728417280000} is an apocalyptic number.

6728417280000 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 6728417280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637746103982).

6728417280000 is an abundant number, since it is smaller than the sum of its proper divisors (20547074927964).

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

6728417280000 is an frugal number, since it uses more digits than its factorization.

6728417280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 6728417280000 in words is "six trillion, seven hundred twenty-eight billion, four hundred seventeen million, two hundred eighty thousand".