4004632506 has 48 divisors (see below), whose sum is σ = 9864965376. Its totient is φ = 1076874624.

The previous prime is 4004632477. The next prime is 4004632517. The reversal of 4004632506 is 6052364004.

It is a super-2 number, since 2×4004632506² = 32074163016223680072, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395626 + ... + 405621.

It is an arithmetic number, because the mean of its divisors is an integer number (205520112).

Almost surely, 2^4004632506 is an apocalyptic number.

4004632506 is an abundant number, since it is smaller than the sum of its proper divisors (5860332870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004632506 is a wasteful number, since it uses less digits than its factorization.

4004632506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801283 (or 801276 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4004632506 is about 63282.1657815217. The cubic root of 4004632506 is about 1588.0136192937.

The spelling of 4004632506 in words is "four billion, four million, six hundred thirty-two thousand, five hundred six".