Numbers divide its prime factors' concatenation
Solution 1:
If you reverse the arrangement of the factors in the concatenation, there are slightly more of these below $10^{10}$. For example, $378 = 2 \times 3^3 \times 7$ and $378|73332$. The other known numbers with this property are $12467, 95823, 10715274, 13485829, 111495095$.
Paolo P. Lava was wondering about these last year (see A248915 in Sloane's OEIS). He also searched for the numbers you have found, but up to $13 \times 10^7$ he could only find $28749$ (which is how I was able to find out about the numbers with the opposite sorting). So he'd probably be happy to hear about $21757820799$.
Solution 2:
The next such number you desire is $$ 4373079629403 = 3 \times 367 \times 2713 \times 1464031 $$ (discovered by Giovanni Resta ?), and this number is clearly what you are waiting for.