1689366601728 has 336 divisors, whose sum is σ = 5564686346856. Its totient is φ = 489223618560.

The previous prime is 1689366601723. The next prime is 1689366601751. The reversal of 1689366601728 is 8271066639861.

It can be written as a sum of positive squares in 4 ways, for example, as 1206552858624 + 482813743104 = 1098432^2 + 694848^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1689366601723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16242048 + ... + 16345728.

Almost surely, 2^{1689366601728} is an apocalyptic number.

1689366601728 is a gapful number since it is divisible by the number (18) 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 1689366601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782343173428).

1689366601728 is an abundant number, since it is smaller than the sum of its proper divisors (3875319745128).

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

1689366601728 is a wasteful number, since it uses less digits than its factorization.

1689366601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103743 (or 103716 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1689366601728 in words is "one trillion, six hundred eighty-nine billion, three hundred sixty-six million, six hundred one thousand, seven hundred twenty-eight".