There were plenty of candid moments, including Cook's thoughts on the man he replaced as CEO (Steve Jobs) and the challenges stemming from his sexual orientation. Cook famously came out as gay last year at age 53,
In a question about being gay host Stephen Colbert said "You came out as gay recently. Was that an upgrade or just a feature that had not been turned on?"
He also talked about the new iPhone, the rumour that it's developing a driverless car, Steve Jobs and other Apple products in development.
On the question of driverless cars: "You guys aren't big on secrets. Tell me about it." Colbert said.
He was also informed of the possibility that Colbert would stab him in the neck with a fondue fork if he changed the required charger for the iPhone again.
That last quip got a big laugh out of Cook, who seemed to get a kick out of Colbert throughout the interview.
The possibility of seeing an Apple driverless car on the road in the future came up as well, as Colbert reminded Cook that Uber CEO Travis Kalanick had outed the company's plans on The Late Show the week before.
On that subject, Cook was relatively mum, saying only "we look at a number of things along the way and we decide to really put our energies in a few of those." If you can make heads or tails of that, be our guest.
Some say that the best question of all, came from Siri, Apple's automated personal assistant. When Colbert asked the digital oracle what he should ask his guest, she hilariously replied "do me a favour, and ask him when I'm going to get a raise."
See the full interview here.