18540406720 has 448 divisors, whose sum is σ = 56092953600. Its totient is φ = 5741936640.

The previous prime is 18540406711. The next prime is 18540406723. The reversal of 18540406720 is 2760404581.

It is a super-3 number, since 3×18540406720³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18540406720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18540406723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26149726 + ... + 26150434.

Almost surely, 2^18540406720 is an apocalyptic number.

18540406720 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 18540406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28046476800).

18540406720 is an abundant number, since it is smaller than the sum of its proper divisors (37552546880).

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

18540406720 is a wasteful number, since it uses less digits than its factorization.

18540406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 18540406720 in words is "eighteen billion, five hundred forty million, four hundred six thousand, seven hundred twenty".