1682729217660 has 96 divisors (see below), whose sum is σ = 4826000551680. Its totient is φ = 437857201152.

The previous prime is 1682729217607. The next prime is 1682729217661. The reversal of 1682729217660 is 667129272861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1682729217660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682729217661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280019 + ... + 2926421.

It is an arithmetic number, because the mean of its divisors is an integer number (50270839080).

Almost surely, 2^{1682729217660} is an apocalyptic number.

1682729217660 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 1682729217660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413000275840).

1682729217660 is an abundant number, since it is smaller than the sum of its proper divisors (3143271334020).

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

1682729217660 is a wasteful number, since it uses less digits than its factorization.

1682729217660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647467 (or 647465 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 1682729217660 in words is "one trillion, six hundred eighty-two billion, seven hundred twenty-nine million, two hundred seventeen thousand, six hundred sixty".