Single-word synonym for "immensely valuable"?
Solution 1:
The word "invaluable" is what you're looking for I think. Definition: beyond calculable or appraisable value.
Solution 2:
To quote the well-know credit card ad: priceless.
Solution 3:
There are also the terms precious, which means "of great price; costly; having a high money-value; of great worth; held in high esteem; intrinsically valuable," and inestimable, which means "of immeasurable value or worth; invaluable."