18673213680 has 720 divisors, whose sum is σ = 75252996000. Its totient is φ = 4130058240.

The previous prime is 18673213667. The next prime is 18673213681. The reversal of 18673213680 is 8631237681.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18673213681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48002926 + ... + 48003314.

It is an arithmetic number, because the mean of its divisors is an integer number (104518050).

Almost surely, 2^18673213680 is an apocalyptic number.

18673213680 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 18673213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37626498000).

18673213680 is an abundant number, since it is smaller than the sum of its proper divisors (56579782320).

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

18673213680 is a wasteful number, since it uses less digits than its factorization.

18673213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18673213680 in words is "eighteen billion, six hundred seventy-three million, two hundred thirteen thousand, six hundred eighty".