  We perform a quantitative analysis of the $bb\bar{b}\bar{b}$ tetraquark
decays into hidden- and open-bottom mesons and calculate, for the first time,
the $bb\bar{b}\bar{b}$ tetraquark total decay width. On the basis of our
results, we propose the $bb\bar{b}\bar{b} \to B^{+} B^{-} (B^0 \bar{B}^0)
(B_s^0 \bar{B}_s^0) \to l^{+} l^{-}+\text{X}$ decays as the most suitable
channels to observe the $bb\bar{b}\bar{b}$ tetraquark states, since the
calculated two-lepton cross section upper limit, $\simeq 39 $ fb, is so large
as to be potentially detectable with the 2018 LHCb sensitivity,
  paving the way to the observation of the $bb\bar{b}\bar{b}$ tetraquark in the
future LHCb upgrade. The $4\mu$ signal for the ground state, $J^{PC}=0^{++}$,
is likely to be too small even for the upgraded LHCb, but it may not be
hopeless for the $J^{PC}=2^{++}$ fully-bottom state.
