The parameters, i.e. the mass and current coupling of the exotic X(5568) state observed by the D0 Collaboration as well as the decay width of the process X. -> B-s(0)pi(+), are explored using the B (K) over bar molecule assumption on its structure. Employed computational methods include QCD two-point and light-cone sum rules, the latter being considered in the soft-meson approximation. The obtained results are compared with the data of the D0 Collaboration as well as with the predictions of the diquark-antidiquark model. This comparison strengthens a diquark-antidiquark picture for the X(5568) state rather than a meson molecule structure.