766424958849 has 135 divisors (see below), whose sum is σ = 1298816576211. Its totient is φ = 450054934560.

The previous prime is 766424958841. The next prime is 766424958857. The reversal of 766424958849 is 948859424667.

The square root of 766424958849 is 875457.

It is a perfect power (a square), and thus also a powerful number.

766424958849 is a `hidden beast` number, since 76 + 6 + 424 + 9 + 58 + 84 + 9 = 666.

766424958849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (766424958841) and next prime (766424958857).

It can be written as a sum of positive squares in only one way, i.e., 685807578225 + 80617380624 = 828135^2 + 283932^2 .

It is not a de Polignac number, because 766424958849 - 2³ = 766424958841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (766424958841) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3206798872 + ... + 3206799110.

Almost surely, 2^766424958849 is an apocalyptic number.

766424958849 is the 875457-th square number.

766424958849 is the 437729-th centered octagonal number.

It is an amenable number.

766424958849 is a deficient number, since it is larger than the sum of its proper divisors (532391617362).

766424958849 is an equidigital number, since it uses as much as digits as its factorization.

766424958849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 290 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 766424958849 in words is "seven hundred sixty-six billion, four hundred twenty-four million, nine hundred fifty-eight thousand, eight hundred forty-nine".