180450078432 has 768 divisors, whose sum is σ = 593056235520. Its totient is φ = 47443968000.

The previous prime is 180450078407. The next prime is 180450078443. The reversal of 180450078432 is 234870054081.

It is a super-2 number, since 2×180450078432² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1195033557 + ... + 1195033707.

It is an arithmetic number, because the mean of its divisors is an integer number (772208640).

Almost surely, 2^180450078432 is an apocalyptic number.

180450078432 is a gapful number since it is divisible by the number (12) 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 180450078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296528117760).

180450078432 is an abundant number, since it is smaller than the sum of its proper divisors (412606157088).

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

180450078432 is a wasteful number, since it uses less digits than its factorization.

180450078432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 180450078432 in words is "one hundred eighty billion, four hundred fifty million, seventy-eight thousand, four hundred thirty-two".