2773966667680 has 48 divisors (see below), whose sum is σ = 7057611354024. Its totient is φ = 1024233845760.

The previous prime is 2773966667669. The next prime is 2773966667701. The reversal of 2773966667680 is 867666693772.

2773966667680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2549476437264 + 224490230416 = 1596708^2 + 473804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666816831 + ... + 666820990.

Almost surely, 2^{2773966667680} is an apocalyptic number.

2773966667680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2773966667680 is an abundant number, since it is smaller than the sum of its proper divisors (4283644686344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2773966667680 is a wasteful number, since it uses less digits than its factorization.

2773966667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637849 (or 1333637841 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 73.

The spelling of 2773966667680 in words is "two trillion, seven hundred seventy-three billion, nine hundred sixty-six million, six hundred sixty-seven thousand, six hundred eighty".