1689336768 has 224 divisors, whose sum is σ = 5354726400. Its totient is φ = 459841536.

The previous prime is 1689336709. The next prime is 1689336773. The reversal of 1689336768 is 8676339861.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 3468621 + ... + 3469107.

Almost surely, 2^1689336768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677363200).

1689336768 is an abundant number, since it is smaller than the sum of its proper divisors (3665389632).

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

1689336768 is a wasteful number, since it uses less digits than its factorization.

1689336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 1689336768 is about 41101.5421608484. The cubic root of 1689336768 is about 1190.9825860472.

The spelling of 1689336768 in words is "one billion, six hundred eighty-nine million, three hundred thirty-six thousand, seven hundred sixty-eight".