766006415461 has 12 divisors (see below), whose sum is σ = 891221158668. Its totient is φ = 656464580352.

The previous prime is 766006415459. The next prime is 766006415479. The reversal of 766006415461 is 164514600667.

It can be written as a sum of positive squares in 2 ways, for example, as 552206527236 + 213799888225 = 743106^2 + 462385^2 .

It is not a de Polignac number, because 766006415461 - 2¹ = 766006415459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766006415491) 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 11 ways as a sum of consecutive naturals, for example, 1047546 + ... + 1621531.

It is an arithmetic number, because the mean of its divisors is an integer number (74268429889).

Almost surely, 2^766006415461 is an apocalyptic number.

It is an amenable number.

766006415461 is a deficient number, since it is larger than the sum of its proper divisors (125214743207).

766006415461 is a wasteful number, since it uses less digits than its factorization.

766006415461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674948 (or 2674941 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 766006415461 in words is "seven hundred sixty-six billion, six million, four hundred fifteen thousand, four hundred sixty-one".