180343680000 has 440 divisors, whose sum is σ = 655341973440. Its totient is φ = 43714560000.

The previous prime is 180343679993. The next prime is 180343680007. The reversal of 180343680000 is 86343081.

It is an interprime number because it is at equal distance from previous prime (180343679993) and next prime (180343680007).

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (180343680007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21115731 + ... + 21124269.

It is an arithmetic number, because the mean of its divisors is an integer number (1489413576).

Almost surely, 2^180343680000 is an apocalyptic number.

180343680000 is a gapful number since it is divisible by the number (10) 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 180343680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327670986720).

180343680000 is an abundant number, since it is smaller than the sum of its proper divisors (474998293440).

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

180343680000 is an equidigital number, since it uses as much as digits as its factorization.

180343680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 180343680000 in words is "one hundred eighty billion, three hundred forty-three million, six hundred eighty thousand".