18272767968 has 1152 divisors, whose sum is σ = 73969459200. Its totient is φ = 4389396480.

The previous prime is 18272767967. The next prime is 18272767987. The reversal of 18272767968 is 86976727281.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18272767967) 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 191 ways as a sum of consecutive naturals, for example, 589444113 + ... + 589444143.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 2^18272767968 is an apocalyptic number.

18272767968 is a gapful number since it is divisible by the number (18) 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 18272767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36984729600).

18272767968 is an abundant number, since it is smaller than the sum of its proper divisors (55696691232).

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

18272767968 is a wasteful number, since it uses less digits than its factorization.

18272767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 18272767968 in words is "eighteen billion, two hundred seventy-two million, seven hundred sixty-seven thousand, nine hundred sixty-eight".