1804109664 has 144 divisors (see below), whose sum is σ = 5550709248. Its totient is φ = 502381824.

The previous prime is 1804109653. The next prime is 1804109687. The reversal of 1804109664 is 4669014081.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7548457 + ... + 7548695.

It is an arithmetic number, because the mean of its divisors is an integer number (38546592).

Almost surely, 2^1804109664 is an apocalyptic number.

1804109664 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 1804109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775354624).

1804109664 is an abundant number, since it is smaller than the sum of its proper divisors (3746599584).

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

1804109664 is an equidigital number, since it uses as much as digits as its factorization.

1804109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1804109664 is about 42474.8121125921. The cubic root of 1804109664 is about 1217.3654660644.

The spelling of 1804109664 in words is "one billion, eight hundred four million, one hundred nine thousand, six hundred sixty-four".