18006831360 has 720 divisors, whose sum is σ = 75479327616. Its totient is φ = 4013162496.

The previous prime is 18006831319. The next prime is 18006831361. The reversal of 18006831360 is 6313860081.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18006831361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31207392 + ... + 31207968.

Almost surely, 2^18006831360 is an apocalyptic number.

18006831360 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 18006831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739663808).

18006831360 is an abundant number, since it is smaller than the sum of its proper divisors (57472496256).

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

18006831360 is an equidigital number, since it uses as much as digits as its factorization.

18006831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18006831360 in words is "eighteen billion, six million, eight hundred thirty-one thousand, three hundred sixty".