2706761674120 has 128 divisors (see below), whose sum is σ = 6985129996800. Its totient is φ = 924716998656.

The previous prime is 2706761674093. The next prime is 2706761674153. The reversal of 2706761674120 is 214761676072.

2706761674120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281275629 + ... + 281285251.

It is an arithmetic number, because the mean of its divisors is an integer number (54571328100).

Almost surely, 2^{2706761674120} is an apocalyptic number.

2706761674120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706761674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492564998400).

2706761674120 is an abundant number, since it is smaller than the sum of its proper divisors (4278368322680).

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

2706761674120 is a wasteful number, since it uses less digits than its factorization.

2706761674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13127 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 2706761674120 in words is "two trillion, seven hundred six billion, seven hundred sixty-one million, six hundred seventy-four thousand, one hundred twenty".