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SN74HC595: current capability, MCU limitation and Vout for H level

Part Number: SN74HC595
Other Parts Discussed in Thread: SN74LV595A

Hi Team, 

My customer is using SN74HC595 and he has 3 questions, could you kindly help? Thanks.

1. current capability

First page of datasheet says "±6-mA output drive at 5 V", and abs. max. rating says Io is 35mA for "Continuous output current" and 70mA for "Continuous current through VCC or GND " respectively. 

Is it correct that output current capability is 35mA for each port and 70mA for total? If so, what does 6mA mean here?  

2. MCU limitation

Customer controls SN74HC595 with MCU, is there any limitation for MCU port? 

For example, can SN74HC595 output 35mA even MCU port only can support 4mA? 

3. Vout for H level

Vcc is 4.82~5V in customer's application. Customer wants to know what is the lowest voltage when output is HIGH? 
I believe it will higher than 4.4V, is there any way to estimate it?