One of the marvels of our bodies' engineering is the compactification of DNA in each of the three trillion or so nucleated cells each of us possesses. DNA has been called the most efficient information storage device known to man and the following six minute video explains why.
As astonishing as the storage of our genetic code is the video hardly scratches the surface of the multiple layers of complexity involved. There are entire systems of proteins devoted to unraveling the double helix, reading off the code, repairing errors, replicating the code, integrating the epigenome and more.
See here for some additional details.
One of the most amazing examples of this bio-complexity is the ability of DNA to "make sense" at several different levels of structure. To see what I mean, imagine you read a paragraph in a book in which each word is read sequentially. The paragraph will have a meaning.
Now suppose you only read every third word and found that the paragraph still made sense but had a completely different meaning. That's how DNA works. Depending on where along the strand the "reader" begins it codes for different proteins and traits. (See here for a fuller explanation)
This is so baffling that many investigators doubt that there can be any naturalistic explanation and believe it points instead to an intelligent programmer who somehow designed the system.
In any case, watch the video and ask yourself how blind purposeless processes could have produced the ability to achieve this degree of compaction purely by chance.