Chronic liver disease has been a leading cause of mortality worldwide. Multiparametric MRI is a promising tool for non-invasive characterization of liver disease, but has yet to be widely used in clinical practice due to demanding technical challenges. In this work, we proposed a 6D Multitasking multi-echo (MT-ME) technique that allows free-breathing acquisition, whole-liver coverage, and simultaneous T1, PDFF, R2*, and water-specific T1 (T1w) quantification. Phantom study and in vivo studies with 14 volunteers and 1 patient with NAFLD were performed. The quantitative parameters measured from MT-ME were repeatable and showed good agreement with the reference methods.