76248666684267 has 128 divisors (see below), whose sum is σ = 133539415326720. Its totient is φ = 37543320192000.

The previous prime is 76248666684233. The next prime is 76248666684271.

76248666684267 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76248666684267 - 2⁸ = 76248666684011 is a prime.

It is a super-2 number, since 2×76248666684267² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76248666684192 and 76248666684201.

It is not an unprimeable number, because it can be changed into a prime (76248666684227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110477542 + ... + 111165572.

It is an arithmetic number, because the mean of its divisors is an integer number (1043276682240).

Almost surely, 2^{76248666684267} is an apocalyptic number.

76248666684267 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76248666684267 is a deficient number, since it is larger than the sum of its proper divisors (57290748642453).

76248666684267 is a wasteful number, since it uses less digits than its factorization.

76248666684267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688385.

The product of its digits is 9364045824, while the sum is 78.

The spelling of 76248666684267 in words is "seventy-six trillion, two hundred forty-eight billion, six hundred sixty-six million, six hundred eighty-four thousand, two hundred sixty-seven".