18788440320 has 1152 divisors, whose sum is σ = 79117516800. Its totient is φ = 4180377600.

The previous prime is 18788440309. The next prime is 18788440331. The reversal of 18788440320 is 2304488781.

18788440320 is a `hidden beast` number, since 187 + 8 + 8 + 440 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (18788440309) and next prime (18788440331).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264625885 + ... + 264625955.

It is an arithmetic number, because the mean of its divisors is an integer number (68678400).

Almost surely, 2^18788440320 is an apocalyptic number.

18788440320 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 18788440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39558758400).

18788440320 is an abundant number, since it is smaller than the sum of its proper divisors (60329076480).

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

18788440320 is a wasteful number, since it uses less digits than its factorization.

18788440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 18788440320 in words is "eighteen billion, seven hundred eighty-eight million, four hundred forty thousand, three hundred twenty".