18744310609920 has 1152 divisors, whose sum is σ = 79817952614400. Its totient is φ = 3972436328448.

The previous prime is 18744310609903. The next prime is 18744310609931. The reversal of 18744310609920 is 2990601344781.

18744310609920 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 4 + 3 + 1 + 0 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576075892 + ... + 576108428.

It is an arithmetic number, because the mean of its divisors is an integer number (69286417200).

Almost surely, 2^{18744310609920} is an apocalyptic number.

18744310609920 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 18744310609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39908976307200).

18744310609920 is an abundant number, since it is smaller than the sum of its proper divisors (61073642004480).

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

18744310609920 is a wasteful number, since it uses less digits than its factorization.

18744310609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32643 (or 32620 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 18744310609920 in words is "eighteen trillion, seven hundred forty-four billion, three hundred ten million, six hundred nine thousand, nine hundred twenty".