180332355840 has 1296 divisors, whose sum is σ = 746063172288. Its totient is φ = 36981374976.

The previous prime is 180332355757. The next prime is 180332355911. The reversal of 180332355840 is 48553233081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 180332355792 and 180332355801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1685349067 + ... + 1685349173.

It is an arithmetic number, because the mean of its divisors is an integer number (575666028).

Almost surely, 2^180332355840 is an apocalyptic number.

180332355840 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 180332355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373031586144).

180332355840 is an abundant number, since it is smaller than the sum of its proper divisors (565730816448).

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

180332355840 is a wasteful number, since it uses less digits than its factorization.

180332355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 180332355840 in words is "one hundred eighty billion, three hundred thirty-two million, three hundred fifty-five thousand, eight hundred forty".