76457466475467 has 144 divisors (see below), whose sum is σ = 137711579604480. Its totient is φ = 37532633550720.

The previous prime is 76457466475463. The next prime is 76457466475513.

76457466475467 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76457466475467 - 2² = 76457466475463 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76457466475392 and 76457466475401.

It is not an unprimeable number, because it can be changed into a prime (76457466475463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22666828 + ... + 25820534.

It is an arithmetic number, because the mean of its divisors is an integer number (956330413920).

Almost surely, 2^{76457466475467} is an apocalyptic number.

76457466475467 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76457466475467 is a deficient number, since it is larger than the sum of its proper divisors (61254113129013).

76457466475467 is a wasteful number, since it uses less digits than its factorization.

76457466475467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153822 (or 3153804 counting only the distinct ones).

The product of its digits is 19914854400, while the sum is 78.

The spelling of 76457466475467 in words is "seventy-six trillion, four hundred fifty-seven billion, four hundred sixty-six million, four hundred seventy-five thousand, four hundred sixty-seven".