Spark is asking people to use internet apps like Apple Facetime to contact each other as overloading continues to plague the traditional phone systems.
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"Following the Prime Minister's Covid-19 announcement today telecommunications providers experienced call volumes beyond any level of calling ever seen in New Zealand to date," The company said in a statement.
"This is creating significant congestion for voice calling at an industry-wide level.
"We are working collaboratively to rectify the issue with urgency."
Those who could get through complained about call quality. "[It's] like calling Mars," quipped Francis Till.
The telco also updated on its website and social media late this afternoon: "Customers may be experiencing a loss of service for voice calling. The New Zealand telecommunications industry is working quickly and collaboratively to remedy calling issues that have stemmed from a significant increase in voice volumes on both mobiles and landlines. New Zealanders are encouraged to use internet-based calling options such as Skype or Facetime until this issue is fixed."