76408480467 has 32 divisors (see below), whose sum is σ = 123811061760. Its totient is φ = 46187192160.

The previous prime is 76408480457. The next prime is 76408480529.

76408480467 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76408480467 - 2¹⁵ = 76408447699 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76408480417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222108 + ... + 449609.

It is an arithmetic number, because the mean of its divisors is an integer number (3869095680).

Almost surely, 2^76408480467 is an apocalyptic number.

76408480467 is a deficient number, since it is larger than the sum of its proper divisors (47402581293).

76408480467 is a wasteful number, since it uses less digits than its factorization.

76408480467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672120 (or 672114 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 76408480467 in words is "seventy-six billion, four hundred eight million, four hundred eighty thousand, four hundred sixty-seven".