1666800000 has 288 divisors, whose sum is σ = 6008052960. Its totient is φ = 443520000.

The previous prime is 1666799983. The next prime is 1666800007. The reversal of 1666800000 is 86661.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3599769 + ... + 3600231.

It is an arithmetic number, because the mean of its divisors is an integer number (20861295).

Almost surely, 2^1666800000 is an apocalyptic number.

1666800000 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 1666800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004026480).

1666800000 is an abundant number, since it is smaller than the sum of its proper divisors (4341252960).

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

1666800000 is an frugal number, since it uses more digits than its factorization.

1666800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1666800000 is about 40826.4620068896. The cubic root of 1666800000 is about 1185.6627174830.

Adding to 1666800000 its reverse (86661), we get a palindrome (1666886661).

The spelling of 1666800000 in words is "one billion, six hundred sixty-six million, eight hundred thousand".