18507456768 has 144 divisors (see below), whose sum is σ = 52010642880. Its totient is φ = 5826281472.

The previous prime is 18507456743. The next prime is 18507456797. The reversal of 18507456768 is 86765470581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149180 + ... + 5152772.

It is an arithmetic number, because the mean of its divisors is an integer number (361185020).

Almost surely, 2^18507456768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18507456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26005321440).

18507456768 is an abundant number, since it is smaller than the sum of its proper divisors (33503186112).

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

18507456768 is a wasteful number, since it uses less digits than its factorization.

18507456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 18507456768 in words is "eighteen billion, five hundred seven million, four hundred fifty-six thousand, seven hundred sixty-eight".