2746064068760 has 128 divisors (see below), whose sum is σ = 6570943948800. Its totient is φ = 1031106854400.

The previous prime is 2746064068723. The next prime is 2746064068777. The reversal of 2746064068760 is 678604606472.

2746064068760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2746064068696 and 2746064068705.

It is a congruent number.

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, 8065739 + ... + 8399301.

It is an arithmetic number, because the mean of its divisors is an integer number (51335499600).

Almost surely, 2^{2746064068760} is an apocalyptic number.

2746064068760 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 2746064068760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285471974400).

2746064068760 is an abundant number, since it is smaller than the sum of its proper divisors (3824879880040).

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

2746064068760 is a wasteful number, since it uses less digits than its factorization.

2746064068760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333801 (or 333797 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 2746064068760 in words is "two trillion, seven hundred forty-six billion, sixty-four million, sixty-eight thousand, seven hundred sixty".