2673243727680 has 896 divisors, whose sum is σ = 9573408092160. Its totient is φ = 628513177600.

The previous prime is 2673243727591. The next prime is 2673243727727. The reversal of 2673243727680 is 867273423762.

It is a happy number.

2673243727680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2673243727680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4056515191 + ... + 4056515849.

Almost surely, 2^{2673243727680} is an apocalyptic number.

2673243727680 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 2673243727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786704046080).

2673243727680 is an abundant number, since it is smaller than the sum of its proper divisors (6900164364480).

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

2673243727680 is a wasteful number, since it uses less digits than its factorization.

2673243727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 2673243727680 in words is "two trillion, six hundred seventy-three billion, two hundred forty-three million, seven hundred twenty-seven thousand, six hundred eighty".