18240318720 has 648 divisors, whose sum is σ = 71072872416. Its totient is φ = 4476985344.

The previous prime is 18240318683. The next prime is 18240318727. The reversal of 18240318720 is 2781304281.

18240318720 is a `hidden beast` number, since 182 + 403 + 1 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18240318727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52565587 + ... + 52565933.

Almost surely, 2^18240318720 is an apocalyptic number.

18240318720 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 18240318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35536436208).

18240318720 is an abundant number, since it is smaller than the sum of its proper divisors (52832553696).

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

18240318720 is an equidigital number, since it uses as much as digits as its factorization.

18240318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 18240318720 in words is "eighteen billion, two hundred forty million, three hundred eighteen thousand, seven hundred twenty".