18742867968 has 384 divisors, whose sum is σ = 57599942400. Its totient is φ = 5367398400.

The previous prime is 18742867967. The next prime is 18742867973. The reversal of 18742867968 is 86976824781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 18742867899 and 18742867908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742867967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143075263 + ... + 143075393.

It is an arithmetic number, because the mean of its divisors is an integer number (149999850).

Almost surely, 2^18742867968 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 18742867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28799971200).

18742867968 is an abundant number, since it is smaller than the sum of its proper divisors (38857074432).

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

18742867968 is a wasteful number, since it uses less digits than its factorization.

18742867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 18742867968 in words is "eighteen billion, seven hundred forty-two million, eight hundred sixty-seven thousand, nine hundred sixty-eight".