1781327707680 has 192 divisors, whose sum is σ = 5750201052288. Its totient is φ = 463284756480.

The previous prime is 1781327707667. The next prime is 1781327707703. The reversal of 1781327707680 is 867077231871.

It is a self number, because there is not a number n which added to its sum of digits gives 1781327707680.

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, 13909540 + ... + 14037020.

It is an arithmetic number, because the mean of its divisors is an integer number (29948963814).

Almost surely, 2^{1781327707680} is an apocalyptic number.

1781327707680 is a gapful number since it is divisible by the number (10) 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 1781327707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875100526144).

1781327707680 is an abundant number, since it is smaller than the sum of its proper divisors (3968873344608).

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

1781327707680 is a wasteful number, since it uses less digits than its factorization.

1781327707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128219 (or 128211 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 57.

The spelling of 1781327707680 in words is "one trillion, seven hundred eighty-one billion, three hundred twenty-seven million, seven hundred seven thousand, six hundred eighty".