I am quite fond of books by a Russian writer, <PERSON>, who among other novels, explored technologies for achieving practical immortality and their implications on individuals and society, in "Wish Generator" and somewhat in "Nanotech network" as one of the aspects : http://technocosm.narod.ru/e/wg_e.htm
Being a sci-fi writer, he leans toward longevity of the conscience - not necessarily confined to the original biological body it was born in. Not necessarily to one body at all (e.g. spawn a copy of yourself - and both are fully yourself, no paradox and conflict of clone/origin - to travel the universe (perhaps in a body that can live in the cold and void or dive into stars), then sync back the impressions of your copies whenever their ways cross again. 240
The technologies and biological basis for what he proposes as initial stages of modularizing the body (and eventually replacing, as it ages) as a carrier of consciousness are already available or will probably emerge in foreseeable decades.
Regarding your question, one of his outcomes was that true immortality on scale of many (all) humans can cause them to become very responsible about what they do. There is no more place for "I can do whatever, those who come after me will sort it out" - I will live to be hit by the consequences; even if you're immortal, living forever in a wasteland with no way out is not a good prospect...
This will probably boost technologies and space travel as well: "If the Sun burns out in a billion years and swallows the Solar system, this is my personal existential threat, and a problem I have to solve." Quite possibly, the immortal humanity will have to invent ways to travel the galaxy and take the planets (and stars) with them as big comfortable spaceships to fit them all.
It can impact the work of memory as well: it is not infinite, so the trick is to remember what is needed, what matters, and to be able to lose the cruft over time. "The perfect memory is not one that remembers everything collected over millennia, but one that is usable and where you can still find the needed memories in reasonable time." 693