Is it possible to use consecutive order numbers for different stores/views?

Yes, you can do that. Just navigate to System > Configuration > Order Number, choose “Current Configuration Scope” to be “Default Config” and configure the Order Number settings according to your needs. They will be applied to all the websites and store views under your installation, thus consecutive order numbers will be used. The same logic can be applied to set up a global prefix and increment across multiple stores.

See more details on Custom Order Number page

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