18804091680 has 480 divisors, whose sum is σ = 76664206080. Its totient is φ = 4289863680.

The previous prime is 18804091667. The next prime is 18804091717. The reversal of 18804091680 is 8619040881.

18804091680 is a `hidden beast` number, since 1 + 8 + 80 + 409 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×18804091680³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2419641 + ... + 2427399.

It is an arithmetic number, because the mean of its divisors is an integer number (159717096).

Almost surely, 2^18804091680 is an apocalyptic number.

18804091680 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 18804091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38332103040).

18804091680 is an abundant number, since it is smaller than the sum of its proper divisors (57860114400).

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

18804091680 is a wasteful number, since it uses less digits than its factorization.

18804091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18804091680 in words is "eighteen billion, eight hundred four million, ninety-one thousand, six hundred eighty".