What is a word for widespread influence?

There are many words for widespread influence, depending on the specific nuance you want to convey. Here are a few options:

General:

* Influence (itself can be used as a noun to describe widespread influence)

* Impact

* Reach

* Prevalence

* Dominance

* Hegemony

* Preeminence

* Ubiquity (for something being widespread and common)

More specific:

* Cultural impact

* Global influence

* Political sway

* Social dominance

* Economic power

Figurative:

* Ripple effect

* Seismic shift

The best word will depend on the context and the specific type of influence you are describing.