18006733920 has 192 divisors, whose sum is σ = 65923683840. Its totient is φ = 4046020608.

The previous prime is 18006733831. The next prime is 18006733933. The reversal of 18006733920 is 2933760081.

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 31 ways as a sum of consecutive naturals, for example, 152824 + ... + 243656.

It is an arithmetic number, because the mean of its divisors is an integer number (343352520).

Almost surely, 2^18006733920 is an apocalyptic number.

18006733920 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 18006733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961841920).

18006733920 is an abundant number, since it is smaller than the sum of its proper divisors (47916949920).

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

18006733920 is a wasteful number, since it uses less digits than its factorization.

18006733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90917 (or 90909 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 18006733920 in words is "eighteen billion, six million, seven hundred thirty-three thousand, nine hundred twenty".