76286268267 has 24 divisors (see below), whose sum is σ = 111820962960. Its totient is φ = 46226452800.

The previous prime is 76286268257. The next prime is 76286268319.

76286268267 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76286268267 - 2¹¹ = 76286266219 is a prime.

It is a super-2 number, since 2×76286268267² (a number of 23 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 76286268267.

It is not an unprimeable number, because it can be changed into a prime (76286268257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2813917 + ... + 2840897.

It is an arithmetic number, because the mean of its divisors is an integer number (4659206790).

Almost surely, 2^76286268267 is an apocalyptic number.

76286268267 is a deficient number, since it is larger than the sum of its proper divisors (35534694693).

76286268267 is a wasteful number, since it uses less digits than its factorization.

76286268267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34795 (or 34784 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 76286268267 in words is "seventy-six billion, two hundred eighty-six million, two hundred sixty-eight thousand, two hundred sixty-seven".