18140008320 has 768 divisors, whose sum is σ = 78236121600. Its totient is φ = 3923582976.

The previous prime is 18140008291. The next prime is 18140008349. The reversal of 18140008320 is 2380004181.

18140008320 is a `hidden beast` number, since 181 + 400 + 0 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18140008291) and next prime (18140008349).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 20683722 + ... + 20684598.

It is an arithmetic number, because the mean of its divisors is an integer number (101869950).

Almost surely, 2^18140008320 is an apocalyptic number.

18140008320 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 18140008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39118060800).

18140008320 is an abundant number, since it is smaller than the sum of its proper divisors (60096113280).

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

18140008320 is an equidigital number, since it uses as much as digits as its factorization.

18140008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18140008320 in words is "eighteen billion, one hundred forty million, eight thousand, three hundred twenty".