AbstractLet Ln denote the linear hexagonal chain containing n hexagons. Then identifying the opposite lateral edges of Ln in ordered way yields TUHC[2n, 2], the zigzag polyhex nanotube, whereas identifying those of Ln in reversed way yields Mn, the hexagonal Möbius chain. In this article, we first obtain the explicit formulae of the multiplicative degree‐Kirchhoff index, the Kemeny's invariant, the total number of spanning trees of TUHC[2n, 2], respectively. Then we show that the multiplicative degree‐Kirchhoff index of TUHC[2n, 2] is approximately one‐third of its Gutman index. Based on these obtained results we can at last get the corresponding results for Mn.