1669440000 has 400 divisors, whose sum is σ = 5829234048. Its totient is φ = 423936000.

The previous prime is 1669439983. The next prime is 1669440029. The reversal of 1669440000 is 449661.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1669440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35519977 + ... + 35520023.

Almost surely, 2^1669440000 is an apocalyptic number.

1669440000 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 1669440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914617024).

1669440000 is an abundant number, since it is smaller than the sum of its proper divisors (4159794048).

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

1669440000 is an frugal number, since it uses more digits than its factorization.

1669440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1669440000 is about 40858.7811859336. The cubic root of 1669440000 is about 1186.2883671190.

Adding to 1669440000 its reverse (449661), we get a palindrome (1669889661).

The spelling of 1669440000 in words is "one billion, six hundred sixty-nine million, four hundred forty thousand".