76557666675567 has 16 divisors (see below), whose sum is σ = 127264692655872. Its totient is φ = 39770216454720.

The previous prime is 76557666675499. The next prime is 76557666675629.

76557666675567 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76557666675567 - 2¹² = 76557666671471 is a prime.

It is a super-2 number, since 2×76557666675567² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76557666675567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76557666675467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165709234998 + ... + 165709235459.

It is an arithmetic number, because the mean of its divisors is an integer number (7954043290992).

Almost surely, 2^{76557666675567} is an apocalyptic number.

76557666675567 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76557666675567 is a deficient number, since it is larger than the sum of its proper divisors (50707025980305).

76557666675567 is a wasteful number, since it uses less digits than its factorization.

76557666675567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331418470478.

The product of its digits is 70013160000, while the sum is 84.

The spelling of 76557666675567 in words is "seventy-six trillion, five hundred fifty-seven billion, six hundred sixty-six million, six hundred seventy-five thousand, five hundred sixty-seven".