18767096064 has 252 divisors, whose sum is σ = 56540400336. Its totient is φ = 6214081536.

The previous prime is 18767096063. The next prime is 18767096071. The reversal of 18767096064 is 46069076781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18767096064.

It is not an unprimeable number, because it can be changed into a prime (18767096063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 42363427 + ... + 42363869.

It is an arithmetic number, because the mean of its divisors is an integer number (224366668).

Almost surely, 2^18767096064 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 18767096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28270200168).

18767096064 is an abundant number, since it is smaller than the sum of its proper divisors (37773304272).

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

18767096064 is an frugal number, since it uses more digits than its factorization.

18767096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 18767096064 in words is "eighteen billion, seven hundred sixty-seven million, ninety-six thousand, sixty-four".