180040740975360 has 2304 divisors, whose sum is σ = 700931750400000. Its totient is φ = 43592853749760.

The previous prime is 180040740975311. The next prime is 180040740975367. The reversal of 180040740975360 is 63579047040081.

180040740975360 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 407 + 40 + 97 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 180040740975297 and 180040740975306.

It is not an unprimeable number, because it can be changed into a prime (180040740975367) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 515876048466 + ... + 515876048814.

It is an arithmetic number, because the mean of its divisors is an integer number (304223850000).

Almost surely, 2^{180040740975360} is an apocalyptic number.

180040740975360 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 180040740975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350465875200000).

180040740975360 is an abundant number, since it is smaller than the sum of its proper divisors (520891009424640).

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

180040740975360 is a wasteful number, since it uses less digits than its factorization.

180040740975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 180040740975360 in words is "one hundred eighty trillion, forty billion, seven hundred forty million, nine hundred seventy-five thousand, three hundred sixty".