18003363840 has 1152 divisors, whose sum is σ = 80951270400. Its totient is φ = 3592028160.

The previous prime is 18003363839. The next prime is 18003363857. The reversal of 18003363840 is 4836330081.

It is a happy number.

18003363840 is a `hidden beast` number, since 18 + 0 + 0 + 3 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×18003363840² (a number of 21 digits) contains 22 as substring.

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 = 18003363795 and 18003363804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305141731 + ... + 305141789.

It is an arithmetic number, because the mean of its divisors is an integer number (70270200).

Almost surely, 2^18003363840 is an apocalyptic number.

18003363840 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 18003363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40475635200).

18003363840 is an abundant number, since it is smaller than the sum of its proper divisors (62947906560).

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

18003363840 is a wasteful number, since it uses less digits than its factorization.

18003363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 18003363840 in words is "eighteen billion, three million, three hundred sixty-three thousand, eight hundred forty".