I can no longer download apps. Only internet is still working
Try to restart your laptop or shut it down. Otherwise go to the Media Markt or to a technician!
If the memory is full, you'll need to remove an unneeded app for YouTube to fit. But I think you used it anyway.
Although some have already written, but seems like the hard drive is full. It may also be that your operating system is outdated, or a system update is needed. Just try it.