180868267008 has 1584 divisors, whose sum is σ = 706863096576. Its totient is φ = 45546209280.

The previous prime is 180868267007. The next prime is 180868267039. The reversal of 180868267008 is 800762868081.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180868267007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7863837685 + ... + 7863837707.

Almost surely, 2^180868267008 is an apocalyptic number.

180868267008 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 180868267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353431548288).

180868267008 is an abundant number, since it is smaller than the sum of its proper divisors (525994829568).

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

180868267008 is a wasteful number, since it uses less digits than its factorization.

180868267008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 180868267008 in words is "one hundred eighty billion, eight hundred sixty-eight million, two hundred sixty-seven thousand, eight".