The Tractus had an impact, for sure. But, from my experience, more see his later works, published posthumously as Philosophical Investigations, as far more influential. Wittgenstein is very fascinating because of this incredible turn in his work away from the intensely mathematical idea of philosophy towards one that was far more linguistic and anthropological. In arguments like the Private Language argument, Meaning as Use, Rule-following and forms of life, he advanced a philosophical position that disrupted a philosophical skepticism that formed the bed rock of philosophers like Descartes, and many that follow and that are still enthralled with the Cartesian picture. He advanced that a number of long standing philosophical questions were often non-sense, in the sense that they involved the misuse of language and grammar (in a Wittgenstein-ian sense aka, in the sense that one can explain the use and rules for the use of a word) into trails that cannot but lead to dead-ends. His arguments around pain, vision, and psychology, are also fascinating. Though some say it is a mischaracterization, I often find his writing from this era to be very therapeutic. He has a way of presenting arguments so that you can see through them.