181680408000 has 2016 divisors, whose sum is σ = 844618844160. Its totient is φ = 37847347200.

The previous prime is 181680407999. The next prime is 181680408001. The reversal of 181680408000 is 804086181.

It is an interprime number because it is at equal distance from previous prime (181680407999) and next prime (181680408001).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181680408001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2299751961 + ... + 2299752039.

It is an arithmetic number, because the mean of its divisors is an integer number (418957760).

Almost surely, 2^181680408000 is an apocalyptic number.

181680408000 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 181680408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422309422080).

181680408000 is an abundant number, since it is smaller than the sum of its proper divisors (662938436160).

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

181680408000 is an equidigital number, since it uses as much as digits as its factorization.

181680408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 181680408000 in words is "one hundred eighty-one billion, six hundred eighty million, four hundred eight thousand".