That's nothing. If you want to see something even more unbelievable, look at what happens when it is unfolded for replication:
http://www.hhmi.org/biointeractive/dna-replication-advanced-...
https://www.youtube.com/watch?v=TNKWgcFPHqw
https://www.youtube.com/watch?v=JZXT2uOcD2w
There is some pretty amazing stuff going on in the cell outside the DNA, too. To move stuff through the cell there are a series of things called microtubule. Think of them as like catwalks connecting various regions. To move things through the cell things called "motor proteins" are used. These are long proteins that attach at one end to thing to be moved, and (I'm not kidding) have a couple little feet at the other end that they use to walk along the microtubule towing their cargo.
Here's an animation of one walking:
https://www.youtube.com/watch?v=xlPDEpimzB8
Here is an explanation of how the hell it does that chemically:
https://www.dropbox.com/s/whek2qi8o1yldwk/Screenshot%202016-...
Holy crap! This sounds so unbelievable at first sight that I googled it: From http://wow-really.blogspot.com/2006/11/your-dna-would-reach-...
"The human genome, the genetic code in each human cell, contains 23 DNA molecules each containing from 500 thousand to 2.5 million nucleotide pairs. DNA molecules of this size are 1.7 to 8.5 cm long when uncoiled, or about 5 cm on average."
So 23*8.5cm ~ 2m. From https://en.wikipedia.org/wiki/Cell_nucleus we learn that the average size of a nucleus is 6 micrometers. if we just folded the total DNA like rope, halving it at each turn we need about 19 folds, which is huge! It would be interesting to calculate to see if a structure like the 3D Hilbert curve has enough packing efficiency to fit a strand this long into the nucleus.