3180768180480 has 864 divisors, whose sum is σ = 12233855088000. Its totient is φ = 756573143040.

The previous prime is 3180768180467. The next prime is 3180768180503. The reversal of 3180768180480 is 840818670813.

It is a happy number.

3180768180480 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 7 + 6 + 81 + 80 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1567652106 + ... + 1567654134.

It is an arithmetic number, because the mean of its divisors is an integer number (14159554500).

Almost surely, 2^{3180768180480} is an apocalyptic number.

3180768180480 is a gapful number since it is divisible by the number (30) 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 3180768180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116927544000).

3180768180480 is an abundant number, since it is smaller than the sum of its proper divisors (9053086907520).

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

3180768180480 is a wasteful number, since it uses less digits than its factorization.

3180768180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 3180768180480 in words is "three trillion, one hundred eighty billion, seven hundred sixty-eight million, one hundred eighty thousand, four hundred eighty".