There is a discussion on Reddit for a 5TB data volume but very low throughput, I think Object Storage based document database would help in this case.
https://www.reddit.com/r/mongodb/comments/1o41dta/is_there_a...
Our auto-tiering feature allows you to manage a massive database (e.g., 5TB+) primarily on cheap, durable object storage (like S3), which is already built for cross-AZ replication and is up to 3x cheaper than traditional cloud block storage (EBS).
We use local NVMe SSDs (200K+ IOPS) purely as a high-performance cache layer to accelerate read access. Hot and cold data are automatically swapped across memory, SSD, and object storage tiers based on access frequency, ensuring high performance (up to 100x faster than archive solutions)