18745430400 has 576 divisors, whose sum is σ = 72524264400. Its totient is φ = 4727808000.

The previous prime is 18745430387. The next prime is 18745430411. The reversal of 18745430400 is 403454781.

18745430400 is a `hidden beast` number, since 1 + 8 + 74 + 543 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31190100 + ... + 31190700.

Almost surely, 2^18745430400 is an apocalyptic number.

18745430400 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 18745430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36262132200).

18745430400 is an abundant number, since it is smaller than the sum of its proper divisors (53778834000).

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

18745430400 is a wasteful number, since it uses less digits than its factorization.

18745430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 18745430400 in words is "eighteen billion, seven hundred forty-five million, four hundred thirty thousand, four hundred".