18302665680 has 480 divisors, whose sum is σ = 69695851680. Its totient is φ = 4273274880.

The previous prime is 18302665673. The next prime is 18302665739. The reversal of 18302665680 is 8656620381.

18302665680 is a `hidden beast` number, since 1 + 83 + 0 + 2 + 6 + 6 + 568 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4926355344 + 13376310336 = 70188^2 + 115656^2 .

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

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, 14198476 + ... + 14199764.

It is an arithmetic number, because the mean of its divisors is an integer number (145199691).

Almost surely, 2^18302665680 is an apocalyptic number.

18302665680 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 18302665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34847925840).

18302665680 is an abundant number, since it is smaller than the sum of its proper divisors (51393186000).

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

18302665680 is a wasteful number, since it uses less digits than its factorization.

18302665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18302665680 in words is "eighteen billion, three hundred two million, six hundred sixty-five thousand, six hundred eighty".