766480410414 has 48 divisors (see below), whose sum is σ = 1670436069120. Its totient is φ = 253997548560.

The previous prime is 766480410407. The next prime is 766480410419. The reversal of 766480410414 is 414014084667.

766480410414 is a `hidden beast` number, since 7 + 66 + 480 + 4 + 104 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 766480410414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766480410419) 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 23 ways as a sum of consecutive naturals, for example, 12687099 + ... + 12747369.

It is an arithmetic number, because the mean of its divisors is an integer number (34800751440).

Almost surely, 2^766480410414 is an apocalyptic number.

766480410414 is an abundant number, since it is smaller than the sum of its proper divisors (903955658706).

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

766480410414 is a wasteful number, since it uses less digits than its factorization.

766480410414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64405 (or 64402 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 766480410414 in words is "seven hundred sixty-six billion, four hundred eighty million, four hundred ten thousand, four hundred fourteen".