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A cubic centimetre is a measure of volume in 3-dimensional space, whereas a nanometre is a measure of length in 1-dimensional space. The two measure different things and, according to the basic rules of dimensional analysis, conversion from one to the other is not valid.
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1 centimeter = 10-2 meter ===> 1 cubic centimeter = 10-6 cubic meter 1 nanometer = 10-9 meter ===> 1 cubic nanometer = 10-27 cubic meter (1 cubic centimeter) / (1 cubic nanometer) = (10-6) / (10-27) = 1021 = 1,000,000,000,000,000,000,000 = 1 thousand billion billion