1800069984 has 144 divisors (see below), whose sum is σ = 5272787520. Its totient is φ = 582266880.

The previous prime is 1800069889. The next prime is 1800070009. The reversal of 1800069984 is 4899600081.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387224 + ... + 1388520.

It is an arithmetic number, because the mean of its divisors is an integer number (36616580).

Almost surely, 2^1800069984 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 1800069984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636393760).

1800069984 is an abundant number, since it is smaller than the sum of its proper divisors (3472717536).

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

1800069984 is a wasteful number, since it uses less digits than its factorization.

1800069984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1800069984 is about 42427.2316325258. The cubic root of 1800069984 is about 1216.4561639779.

It can be divided in two parts, 18000 and 69984, that multiplied together give a cube (1259712000 = 1080³).

The spelling of 1800069984 in words is "one billion, eight hundred million, sixty-nine thousand, nine hundred eighty-four".