That's 33 times earnings, and Google isn't growing at 70% a year.
400 million users * $1/year = $400m/year, but WhatsApp's expenses look pretty low. Say earnings of 200m/year
$200m * 33 = ~$6B.
That 70% growth rate makes all the difference.
WhatsApp has staggering growth on the basis you don't have to pay for it and its founders are hostile towards advertising, neither of which lend you towards thinking it'll ever reach the 33x P/E ratio (actual P/E ratio >800) still less be significant in 33 years time.
Not sure where to start. What you say isn't even wrong, exactly.
1) You seem to think that the price/earnings ratio has something to do with how the company will do in (P/E) years. It doesn't. As a specific example, companies that are takeover targets have higher PE ratios than they would otherwise, even though they probably won't exist soon.
2) Generally companies with high growth trade at high PE ratios. That's why Google has such a high ratio (it's unclear if you understand this). WhatsApp has even higher growth. AFAIK WhatsApp's revenue is not publicly known, and I'm estimating it at $200m for next year[1].
3) Where are you getting "actual P/E ratio >800"? You know WhatsApp's revenue?
Edit: I see WhatsApp revenue was $20M last year[2]. With growth rates like they are seeing I don't think this says much other than that the revenue model works.
[1] Forbes estimates it at $400M, so I'm being conservative: http://www.forbes.com/sites/hollymagister/2014/02/21/whatsap...
[2] http://www.forbes.com/sites/parmyolson/2014/02/19/exclusive-...
http://cdn-static.zdnet.com/i/r/story/70/00/026526/screen-sh...
I would also argue that being installed and used on mobile devices is more valuable than being installed on a desktop is.