The combination can be intriguing for the whole world as it will change the way tech works. The blockchain is like whole new space for the digital world as it runs through the computers of people who are engaged with it. The interaction is never ending and the blocks are infinite and more infinity is being added to it. I guess use of AI to work within that infinite environment can set free the limits of computation and thus bring revolution to us. Yes big data can be stored on it, forever in the blocks and also secure from the hackers, leakers and much more. I believe that there are endless benefits of these and they will work as the time passes.