18340701600 has 576 divisors, whose sum is σ = 68823095040. Its totient is φ = 4202496000.

The previous prime is 18340701581. The next prime is 18340701601. The reversal of 18340701600 is 610704381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18340701601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 80090286 + ... + 80090514.

It is an arithmetic number, because the mean of its divisors is an integer number (119484540).

Almost surely, 2^18340701600 is an apocalyptic number.

18340701600 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 18340701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34411547520).

18340701600 is an abundant number, since it is smaller than the sum of its proper divisors (50482393440).

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

18340701600 is a wasteful number, since it uses less digits than its factorization.

18340701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 18340701600 in words is "eighteen billion, three hundred forty million, seven hundred one thousand, six hundred".