Even as a temporary consultant, at a company for only a couple of months, I remember seeing the CEO walk the hallway, greeting every single person on the way between a meeting room and the bathroom. I can barely remember my family member's names, or the last thing we talked about, let alone have the memory space for all that information to seem kind and courteous to "low level" employees.
In my entire career, I've never worked at a behemoth-sized company, though, so my experience has been much more "intimate" environments, and primarily in consulting firms or satellite offices away from the main HQ (even by only a couple blocks some times). So everyone in the office knew each other.
Two important grounding items for me when I went into management and my career accelerated:
1. Take the worst boss I ever had (coincidentally at the same company) and make sure that I do the exact opposite of everything they did when leading others.
2. Mirror the actions of that CEO and make sure I remember every single person and what they did; it leaves a lasting impression on people.
I had a physics prof ~20 years ago who made a point of memorizing the names of every one of his intro physics students by the second week.