18684380400 has 240 divisors, whose sum is σ = 72426864384. Its totient is φ = 4019466240.

The previous prime is 18684380399. The next prime is 18684380413. The reversal of 18684380400 is 408348681.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77379 + ... + 208221.

Almost surely, 2^18684380400 is an apocalyptic number.

18684380400 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 18684380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36213432192).

18684380400 is an abundant number, since it is smaller than the sum of its proper divisors (53742483984).

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

18684380400 is a wasteful number, since it uses less digits than its factorization.

18684380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130888 (or 130877 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 18684380400 in words is "eighteen billion, six hundred eighty-four million, three hundred eighty thousand, four hundred".