761606848606167 has 12 divisors (see below), whose sum is σ = 1120855362100344. Its totient is φ = 498157938710640.

The previous prime is 761606848606133. The next prime is 761606848606189.

761606848606167 is a `hidden beast` number, since 7 + 6 + 1 + 6 + 0 + 6 + 8 + 4 + 8 + 606 + 1 + 6 + 7 = 666.

761606848606167 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 761606848606167 - 2⁶ = 761606848606103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 761606848606095 and 761606848606104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761606848606127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798330029509 + ... + 798330030462.

It is an arithmetic number, because the mean of its divisors is an integer number (93404613508362).

Almost surely, 2^{761606848606167} is an apocalyptic number.

761606848606167 is a deficient number, since it is larger than the sum of its proper divisors (359248513494177).

761606848606167 is a wasteful number, since it uses less digits than its factorization.

761606848606167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596660060030 (or 1596660060027 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 761606848606167 in words is "seven hundred sixty-one trillion, six hundred six billion, eight hundred forty-eight million, six hundred six thousand, one hundred sixty-seven".