1683065664 has 168 divisors, whose sum is σ = 5753404800. Its totient is φ = 459942912.

The previous prime is 1683065651. The next prime is 1683065719. The reversal of 1683065664 is 4665603861.

1683065664 is a `hidden beast` number, since 1 + 6 + 83 + 0 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83662 + ... + 101810.

Almost surely, 2^1683065664 is an apocalyptic number.

1683065664 is a gapful number since it is divisible by the number (14) 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 1683065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876702400).

1683065664 is an abundant number, since it is smaller than the sum of its proper divisors (4070339136).

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

1683065664 is a wasteful number, since it uses less digits than its factorization.

1683065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1683065664 is about 41025.1832902670. The cubic root of 1683065664 is about 1189.5070490802.

The spelling of 1683065664 in words is "one billion, six hundred eighty-three million, sixty-five thousand, six hundred sixty-four".