1682705664 has 180 divisors, whose sum is σ = 5282840640. Its totient is φ = 531256320.

The previous prime is 1682705653. The next prime is 1682705671. The reversal of 1682705664 is 4665072861.

1682705664 is a `hidden beast` number, since 1 + 6 + 82 + 7 + 0 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391849 + ... + 396119.

Almost surely, 2^1682705664 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 1682705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641420320).

1682705664 is an abundant number, since it is smaller than the sum of its proper divisors (3600134976).

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

1682705664 is an equidigital number, since it uses as much as digits as its factorization.

1682705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1682705664 is about 41020.7955066695. The cubic root of 1682705664 is about 1189.4222330048.

The spelling of 1682705664 in words is "one billion, six hundred eighty-two million, seven hundred five thousand, six hundred sixty-four".