76166211977667 has 24 divisors (see below), whose sum is σ = 133130857912416. Its totient is φ = 40963340894976.

The previous prime is 76166211977663. The next prime is 76166211977671. The reversal of 76166211977667 is 76677911266167.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76166211977663) and next prime (76166211977671).

It is not a de Polignac number, because 76166211977667 - 2² = 76166211977663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76166211977595 and 76166211977604.

It is not an unprimeable number, because it can be changed into a prime (76166211977663) 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 23 ways as a sum of consecutive naturals, for example, 35558454568 + ... + 35558456709.

It is an arithmetic number, because the mean of its divisors is an integer number (5547119079684).

Almost surely, 2^{76166211977667} is an apocalyptic number.

76166211977667 is a deficient number, since it is larger than the sum of its proper divisors (56964645934749).

76166211977667 is a wasteful number, since it uses less digits than its factorization.

76166211977667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71116911307 (or 71116911304 counting only the distinct ones).

The product of its digits is 336063168, while the sum is 72.

The spelling of 76166211977667 in words is "seventy-six trillion, one hundred sixty-six billion, two hundred eleven million, nine hundred seventy-seven thousand, six hundred sixty-seven".