18205436340 has 1536 divisors, whose sum is σ = 82368921600. Its totient is φ = 3224862720.

The previous prime is 18205436339. The next prime is 18205436423. The reversal of 18205436340 is 4363450281.

18205436340 is a `hidden beast` number, since 1 + 82 + 0 + 543 + 6 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18205436295 and 18205436304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 492038802 + ... + 492038838.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 2^18205436340 is an apocalyptic number.

18205436340 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 18205436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184460800).

18205436340 is an abundant number, since it is smaller than the sum of its proper divisors (64163485260).

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

18205436340 is a wasteful number, since it uses less digits than its factorization.

18205436340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 18205436340 in words is "eighteen billion, two hundred five million, four hundred thirty-six thousand, three hundred forty".