18261759768 has 256 divisors, whose sum is σ = 54411264000. Its totient is φ = 5000776704.

The previous prime is 18261759757. The next prime is 18261759773. The reversal of 18261759768 is 86795716281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112035255 + ... + 112035417.

It is an arithmetic number, because the mean of its divisors is an integer number (212544000).

Almost surely, 2^18261759768 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 18261759768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27205632000).

18261759768 is an abundant number, since it is smaller than the sum of its proper divisors (36149504232).

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

18261759768 is a wasteful number, since it uses less digits than its factorization.

18261759768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 60.

The spelling of 18261759768 in words is "eighteen billion, two hundred sixty-one million, seven hundred fifty-nine thousand, seven hundred sixty-eight".