180952727040 has 480 divisors, whose sum is σ = 639225265536. Its totient is φ = 47297986560.

The previous prime is 180952726993. The next prime is 180952727047. The reversal of 180952727040 is 40727259081.

It is a happy number.

180952727040 is a `hidden beast` number, since 1 + 80 + 9 + 527 + 2 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180952727047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 455800122 + ... + 455800518.

Almost surely, 2^180952727040 is an apocalyptic number.

180952727040 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 180952727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319612632768).

180952727040 is an abundant number, since it is smaller than the sum of its proper divisors (458272538496).

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

180952727040 is a wasteful number, since it uses less digits than its factorization.

180952727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 180952727040 in words is "one hundred eighty billion, nine hundred fifty-two million, seven hundred twenty-seven thousand, forty".