Impact of the PSR <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">J</mml:mi><mml:mn>0740</mml:mn><mml:mo>+</mml:mo><mml:mn>6620</mml:mn></mml:mrow></mml:math> radius constraint on the properties of high-density matter

X-ray pulse profile modeling of PSR J0740+6620, the most massive known pulsar, with data from NICER and XMM-Newton observatories recently led to a measurement its radius. We investigate this measurement's implications for neutron star equation state (EoS), employing nonparametric EoS model based on Gaussian processes combining information other x-ray, radio gravitational-wave observations stars. Our analysis mildly disfavors EoSs that support disconnected hybrid branch in mass-radius relation, proxy strong phase transitions, Bayes factor $6.9$. For such EoSs, transition mass hadronic is constrained lie outside ($1,2$) $M_{\odot}$. also find conformal sound-speed bound violated inside cores, which implies core matter strongly interacting. The squared sound speed reaches maximum $0.75^{+0.25}_{-0.24}\, c^2$ at $3.60^{+2.25}_{-1.89}$ times nuclear saturation density 90% credibility. Since all but prefer relatively stiff EoS, J0740+6620's central only $3.57^{+1.3}_{-1.3}$ saturation, limiting range probed by cold, nonrotating stars $\beta$-equilibrium.