8008005467 has 24 divisors (see below), whose sum is σ = 10490130432. Its totient is φ = 6038701200.

The previous prime is 8008005463. The next prime is 8008005493. The reversal of 8008005467 is 7645008008.

It is not a de Polignac number, because 8008005467 - 2² = 8008005463 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8008005467.

It is not an unprimeable number, because it can be changed into a prime (8008005463) 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, 222923 + ... + 256340.

It is an arithmetic number, because the mean of its divisors is an integer number (437088768).

Almost surely, 2^8008005467 is an apocalyptic number.

8008005467 is a deficient number, since it is larger than the sum of its proper divisors (2482124965).

8008005467 is a wasteful number, since it uses less digits than its factorization.

8008005467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479319 (or 479312 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 8008005467 is about 89487.4598309730. The cubic root of 8008005467 is about 2000.6668998476. Note that the first 3 decimals are identical.

The spelling of 8008005467 in words is "eight billion, eight million, five thousand, four hundred sixty-seven".