Can this RTX 4060 Ti support multiple monitor setups, and if so, how many and what type of ports are available?

Yes, the RTX 4060 Ti supports multiple monitor setups with up to 4 monitors. It has 1 HDMI 2.1a port and 3 DisplayPort 1.4a ports.

Does this graphics card require any special power connectors or a specific power supply wattage?

The graphics card requires an 8-pin power connector and a recommended power supply wattage of 550W.

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NVIDIA GeForce RTX 4060 Ti Founders Edition Graphics Card 8GB GDDR6X - Titanium and Black

Graphics Processing Unit (GPU)/Clock Speed: Powered by the NVIDIA GeForce RTX 4060Ti graphics processing unit (GPU) with a 2.535 GHz boost clock speed
On-board Memory: 8GB GDDR6
Interface Compatibility: PCI Express 4.0 and earlier PCI Express 3.0. Offers compatibility with a range of systems
Technologies: 4,352 NVIDIA CUDA Cores, 2.535 GHz Boost Clock, Dedicated Ray Tracing Cores, Dedicated Tensor Cores, NVIDIA DLSS, Game Ready and NVIDIA Studio Drivers, NVIDIA GeForce Experience, NVIDIA Broadcast, NVIDIA G-SYNC, NVIDIA GPU Boost, GDDR6 Graphics Memory, PCI Express Gen 4
Display Info: Microsoft DirectX 12 Ultimate, Vulkan RT APIs, Vulkan 1.3, Open GL 4.6, HDCP 2.3, DisplayPort 1.4a. Supports 4K 120Hz HDR, 8K 60Hz HDR, and Variable Refresh Rate as specified in HDMI 2.1a
API Support: DirectX 12 Ultimate, Vulkan RT, OpenGL 4.6 support