1768076181160 has 64 divisors (see below), whose sum is σ = 3991181040000. Its totient is φ = 704921246976.

The previous prime is 1768076181149. The next prime is 1768076181163. The reversal of 1768076181160 is 611816708671.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1768076181098 and 1768076181107.

It is not an unprimeable number, because it can be changed into a prime (1768076181163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15852549 + ... + 15963691.

It is an arithmetic number, because the mean of its divisors is an integer number (62362203750).

Almost surely, 2^{1768076181160} is an apocalyptic number.

1768076181160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1768076181160 is an abundant number, since it is smaller than the sum of its proper divisors (2223104858840).

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

1768076181160 is a wasteful number, since it uses less digits than its factorization.

1768076181160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112450 (or 112446 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 52.

The spelling of 1768076181160 in words is "one trillion, seven hundred sixty-eight billion, seventy-six million, one hundred eighty-one thousand, one hundred sixty".