18720140400 has 360 divisors, whose sum is σ = 70268627520. Its totient is φ = 4587816960.

The previous prime is 18720140389. The next prime is 18720140401. The reversal of 18720140400 is 404102781.

18720140400 is a `hidden beast` number, since 18 + 7 + 201 + 40 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18720140401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12588457 + ... + 12589943.

It is an arithmetic number, because the mean of its divisors is an integer number (195190632).

Almost surely, 2^18720140400 is an apocalyptic number.

18720140400 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 18720140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35134313760).

18720140400 is an abundant number, since it is smaller than the sum of its proper divisors (51548487120).

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

18720140400 is a wasteful number, since it uses less digits than its factorization.

18720140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 18720140400 in words is "eighteen billion, seven hundred twenty million, one hundred forty thousand, four hundred".