C++ provides several fundamental and derived data types to store and represent different types of data. Fundamental data types include integers, characters, floats, doubles, and void. Integers can be further classified as short, int, long and modified with signed or unsigned. Characters can also be signed or unsigned. Floats and doubles represent real numbers with different levels of precision. Derived data types include arrays to store multiple values of the same type, structures to group different data types, unions to access memory in different types, enumerations to define named integer constants, classes to define user-defined types with methods and pointers to reference memory locations.