1689240000000 has 640 divisors, whose sum is σ = 6432096033792. Its totient is φ = 385920000000.

The previous prime is 1689239999989. The next prime is 1689240000001. The reversal of 1689240000000 is 429861.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689240000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839998995 + ... + 840001005.

Almost surely, 2^{1689240000000} is an apocalyptic number.

1689240000000 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 1689240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216048016896).

1689240000000 is an abundant number, since it is smaller than the sum of its proper divisors (4742856033792).

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

1689240000000 is an frugal number, since it uses more digits than its factorization.

1689240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 1689240000000 its reverse (429861), we get a palindrome (1689240429861).

The spelling of 1689240000000 in words is "one trillion, six hundred eighty-nine billion, two hundred forty million", and thus it is an aban number.