180282767040 has 224 divisors, whose sum is σ = 638370072000. Its totient is φ = 47896068096.

The previous prime is 180282766967. The next prime is 180282767051. The reversal of 180282767040 is 40767282081.

180282767040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285376 + ... + 2362944.

Almost surely, 2^180282767040 is an apocalyptic number.

180282767040 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 180282767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319185036000).

180282767040 is an abundant number, since it is smaller than the sum of its proper divisors (458087304960).

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

180282767040 is a wasteful number, since it uses less digits than its factorization.

180282767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77864 (or 77848 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 180282767040 in words is "one hundred eighty billion, two hundred eighty-two million, seven hundred sixty-seven thousand, forty".