180920324187768 has 768 divisors, whose sum is σ = 554175530496000. Its totient is φ = 48967041024000.

The previous prime is 180920324187679. The next prime is 180920324187817. The reversal of 180920324187768 is 867781423029081.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 180920324187699 and 180920324187708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65149557196 + ... + 65149559972.

It is an arithmetic number, because the mean of its divisors is an integer number (721582722000).

Almost surely, 2^{180920324187768} 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 180920324187768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277087765248000).

180920324187768 is an abundant number, since it is smaller than the sum of its proper divisors (373255206308232).

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

180920324187768 is a wasteful number, since it uses less digits than its factorization.

180920324187768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 180920324187768 in words is "one hundred eighty trillion, nine hundred twenty billion, three hundred twenty-four million, one hundred eighty-seven thousand, seven hundred sixty-eight".