18673090560 has 720 divisors, whose sum is σ = 71972060160. Its totient is φ = 4459069440.

The previous prime is 18673090507. The next prime is 18673090571. The reversal of 18673090560 is 6509037681.

It is a happy number.

18673090560 is a `hidden beast` number, since 1 + 86 + 7 + 3 + 0 + 9 + 0 + 560 = 666.

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

It is a super-2 number, since 2×18673090560² (a number of 21 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434257899 + ... + 434257941.

Almost surely, 2^18673090560 is an apocalyptic number.

18673090560 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 18673090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35986030080).

18673090560 is an abundant number, since it is smaller than the sum of its proper divisors (53298969600).

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

18673090560 is a wasteful number, since it uses less digits than its factorization.

18673090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 18673090560 in words is "eighteen billion, six hundred seventy-three million, ninety thousand, five hundred sixty".