18341406720 has 960 divisors, whose sum is σ = 81245324160. Its totient is φ = 3869835264.

The previous prime is 18341406689. The next prime is 18341406737. The reversal of 18341406720 is 2760414381.

18341406720 is a `hidden beast` number, since 183 + 4 + 1 + 406 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×18341406720³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410877434 + ... + 1410877446.

It is an arithmetic number, because the mean of its divisors is an integer number (84630546).

Almost surely, 2^18341406720 is an apocalyptic number.

18341406720 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 18341406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622662080).

18341406720 is an abundant number, since it is smaller than the sum of its proper divisors (62903917440).

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

18341406720 is an frugal number, since it uses more digits than its factorization.

18341406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18341406720 in words is "eighteen billion, three hundred forty-one million, four hundred six thousand, seven hundred twenty".