1689084495840 has 2304 divisors, whose sum is σ = 7243758305280. Its totient is φ = 327741603840.

The previous prime is 1689084495781. The next prime is 1689084495853. The reversal of 1689084495840 is 485944809861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13299877857 + ... + 13299877983.

It is an arithmetic number, because the mean of its divisors is an integer number (3143992320).

Almost surely, 2^{1689084495840} is an apocalyptic number.

1689084495840 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 1689084495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621879152640).

1689084495840 is an abundant number, since it is smaller than the sum of its proper divisors (5554673809440).

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

1689084495840 is a wasteful number, since it uses less digits than its factorization.

1689084495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 1689084495840 in words is "one trillion, six hundred eighty-nine billion, eighty-four million, four hundred ninety-five thousand, eight hundred forty".