Vampire Numbers

No, it's not a joke. These sinister beasts really do lurk amongst millions of unsuspecting, innocent integers. However, their existence was not made public until 1995 when Clifford Pickover wrote a Brain Boggler for Discover magazine entitled "Interview with a Number." Since then, hundreds of people have been bitten by the vampire number. They are being hunted relentlessly from all parts of the globe with super fast software. Will you join the chase? Whether you write your own program, or run existing code, the hunt is on!

A vampire number is an integer

with an even number of digits
with a pair of factors (called the fangs) having two properties: 1) they have an equal number of digits 2) together, they possess exactly the same digits as the vampire number
not gotten by simply adding zeros to the end of a smaller vampire number

For example, 1260 is a vampire number since

21 * 60 = 1260

The vampire and its fangs share the same digits! There are no two digit vampire numbers, but there are 7 four digits vampire numbers. Can you find the rest of them? How about the six digit vampire numbers, or even the eight or ten digit vampires?