18330224640 has 768 divisors, whose sum is σ = 73969459200. Its totient is φ = 3772514304.

The previous prime is 18330224593. The next prime is 18330224641. The reversal of 18330224640 is 4642203381.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (18330224641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220846039 + ... + 220846121.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 2^18330224640 is an apocalyptic number.

18330224640 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 18330224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36984729600).

18330224640 is an abundant number, since it is smaller than the sum of its proper divisors (55639234560).

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

18330224640 is a wasteful number, since it uses less digits than its factorization.

18330224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 18330224640 in words is "eighteen billion, three hundred thirty million, two hundred twenty-four thousand, six hundred forty".