766652506641 has 256 divisors, whose sum is σ = 1421494272000. Its totient is φ = 403510947840.

The previous prime is 766652506597. The next prime is 766652506649. The reversal of 766652506641 is 146605256667.

It is not a de Polignac number, because 766652506641 - 2⁷ = 766652506513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (766652506649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3852525060 + ... + 3852525258.

It is an arithmetic number, because the mean of its divisors is an integer number (5552712000).

Almost surely, 2^766652506641 is an apocalyptic number.

It is an amenable number.

766652506641 is a deficient number, since it is larger than the sum of its proper divisors (654841765359).

766652506641 is a wasteful number, since it uses less digits than its factorization.

766652506641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 766652506641 in words is "seven hundred sixty-six billion, six hundred fifty-two million, five hundred six thousand, six hundred forty-one".