18071968320 has 1344 divisors, whose sum is σ = 82058987520. Its totient is φ = 3762339840.

The previous prime is 18071968217. The next prime is 18071968339. The reversal of 18071968320 is 2386917081.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 582966705 + ... + 582966735.

Almost surely, 2^18071968320 is an apocalyptic number.

18071968320 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 18071968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41029493760).

18071968320 is an abundant number, since it is smaller than the sum of its proper divisors (63987019200).

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

18071968320 is an equidigital number, since it uses as much as digits as its factorization.

18071968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 18071968320 in words is "eighteen billion, seventy-one million, nine hundred sixty-eight thousand, three hundred twenty".