1800640512 has 288 divisors, whose sum is σ = 5795375040. Its totient is φ = 534036480.

The previous prime is 1800640447. The next prime is 1800640519. The reversal of 1800640512 is 2150460081.

1800640512 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 640 + 5 + 12 = 666.

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 (1800640519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16828363 + ... + 16828469.

It is an arithmetic number, because the mean of its divisors is an integer number (20122830).

Almost surely, 2^1800640512 is an apocalyptic number.

1800640512 is a gapful number since it is divisible by the number (12) 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 1800640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897687520).

1800640512 is an abundant number, since it is smaller than the sum of its proper divisors (3994734528).

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

1800640512 is a wasteful number, since it uses less digits than its factorization.

1800640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1800640512 is about 42433.9547061077. The cubic root of 1800640512 is about 1216.5846680544.

The spelling of 1800640512 in words is "one billion, eight hundred million, six hundred forty thousand, five hundred twelve".