180371894976 has 672 divisors, whose sum is σ = 660002703360. Its totient is φ = 45830873088.

The previous prime is 180371894959. The next prime is 180371894977. The reversal of 180371894976 is 679498173081.

180371894976 is a `hidden beast` number, since 1 + 80 + 371 + 89 + 49 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (180371894977) 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 95 ways as a sum of consecutive naturals, for example, 178056646 + ... + 178057658.

It is an arithmetic number, because the mean of its divisors is an integer number (982146880).

Almost surely, 2^180371894976 is an apocalyptic number.

180371894976 is a gapful number since it is divisible by the number (16) 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 180371894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330001351680).

180371894976 is an abundant number, since it is smaller than the sum of its proper divisors (479630808384).

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

180371894976 is a wasteful number, since it uses less digits than its factorization.

180371894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 180371894976 in words is "one hundred eighty billion, three hundred seventy-one million, eight hundred ninety-four thousand, nine hundred seventy-six".