The last episode of the anime, 170, adapts chapter 268, chapter 269 and chapter 270 from page 1 to 13. So the story would continue on page 14 of chapter 270, this is the chapter of the manga after the anime, it corresponds to the volume 27 that collects chapters 262 to 272.
The broadcast of the Black Clover anime is stopped, this because the story of the anime caught up with the manga, which caused that there was no more material to adapt. Therefore, if you want to continue the story you should start reading the manga.
The last chapter of the manga is 360, being published, the last available volume is 35 that compiles the chapters from 348 to 358, this in case you want to buy the last volumes. In the following table, I will summarize where the anime ends with respect to the manga:
| LAST EPISODE (ANIME): | CHAPTERS (MANGA): | VOLUME: |
|---|---|---|
170 |
Chapter 268, 269 and 270 (pp. 1-13) |
Volume 27 (chaps. 262-272) |
The anime has been stopped since March 30, 2021, the date of its return is not yet known, this 2023 a non-canon film titled "Black Clover: Sword of the Wizard King" will be released. The manga is also being published, it comes out every Monday and you can read it for free on Wednesday through Manga Plus.