This can be done by creating a salutation in Configuration that does not include names. This can be added as the name format on the report.

How to create a new Addressee/Salutation that does not include Names:
  1. Go to Configuration
  2. Choose Addressees/Salutations
  3. Click New Salutation at the top of the screen
  4. In the Field Name section, choose any field that does not contain names (Record ID, for example) from the dropdown
  5. Click Save and Close

How to adjust the name format in a report:
  1. Browse to the Format Tab
  2. Highlight Name Formats from the list
  3. Where it says "Select Addressee/Salutation From" change Record to Configuration
  4. Next to use, choose the salutation that doesn't include names
  5. Preview the Report