18320342400 has 384 divisors, whose sum is σ = 70997018400. Its totient is φ = 4597678080.

The previous prime is 18320342377. The next prime is 18320342401. The reversal of 18320342400 is 424302381.

18320342400 is a `hidden beast` number, since 18 + 3 + 203 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18320342401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462564 + ... + 1475036.

Almost surely, 2^18320342400 is an apocalyptic number.

18320342400 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 18320342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35498509200).

18320342400 is an abundant number, since it is smaller than the sum of its proper divisors (52676676000).

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

18320342400 is a wasteful number, since it uses less digits than its factorization.

18320342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12523 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 18320342400 its reverse (424302381), we get a palindrome (18744644781).

The spelling of 18320342400 in words is "eighteen billion, three hundred twenty million, three hundred forty-two thousand, four hundred".