2768633044000 has 48 divisors (see below), whose sum is σ = 6802531398936. Its totient is φ = 1107453216000.

The previous prime is 2768633043973. The next prime is 2768633044007. The reversal of 2768633044000 is 4403368672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1031435235216 + 1737197808784 = 1015596^2 + 1318028^2 .

It is not an unprimeable number, because it can be changed into a prime (2768633044007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346075131 + ... + 346083130.

Almost surely, 2^{2768633044000} is an apocalyptic number.

2768633044000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768633044000 is an abundant number, since it is smaller than the sum of its proper divisors (4033898354936).

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

2768633044000 is an equidigital number, since it uses as much as digits as its factorization.

2768633044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692158286 (or 692158268 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 2768633044000 in words is "two trillion, seven hundred sixty-eight billion, six hundred thirty-three million, forty-four thousand".