Wait. First of all, how'd you play the new Spiderman? That games not out for a while yet. I need to know more about this.
As for the release of a new Ratchet & Clank, I don't think we'll see anything at E3, there's a pretty safe bet. And I would be surprised if we heard anything at this year's PSX, but there may be a slim chance of a quick little "Oh and Insomniac Games is making a new Ratchet & Clank we'll announce properly next year" type of deal. You know, like when they slipped it out with one of the Movie trailers back in... whatever year that was.
But I do think we will get another Ratchet & Clank in the future. Probably an announcement next year, most likely the 2019 PSX. And they'll tell us it'll be out in 2020.
These are some pretty far out there dates, but I am sure Insomniac are pretty dedicated to Spiderman at the moment, and if a Ratchet & Clank game was to be made, it'd probably start development this year. But that's a pretty wild guess.
As for what it is. I'll bet it is probably a sequel to the PS4 game, and it probably won't have a number in the title. Just some (hopefully) dirty subtitle. And I bet the main villain will be Robo-Nefarious (it feels odd having to add that he may be a robot, like as if it should go without saying). And I am guessing i'll be fusion of the worlds and stories of R&C:GC and R&C:UYA, with plenty of new levels, but like, heaps of cut planets. However I doubt Qwark will play any sort of antagonistic role, as he is most likely to be just a good guy you work with, like in ACiT.
However what I would like would be a return to the roots. With a game with the graphics of the new games, the music of the R&C:GC/R&CF:ToD era, the gameplay of R&CF:ToD, the level designs and stories of R&C (PS2), and R&C:GC, the humor of R&C:UYA, and set after the events of R&C:ItN... wouldn't that just be perfect? Dare to dream ladies and gentlemen, dare to dream...