4006364636004 has 48 divisors (see below), whose sum is σ = 9507707173440. Its totient is φ = 1312671015040.

The previous prime is 4006364635937. The next prime is 4006364636033.

4006364636004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007834 + ... + 6641294.

It is an arithmetic number, because the mean of its divisors is an integer number (198077232780).

Almost surely, 2^{4006364636004} is an apocalyptic number.

It is an amenable number.

4006364636004 is an abundant number, since it is smaller than the sum of its proper divisors (5501342537436).

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

4006364636004 is a wasteful number, since it uses less digits than its factorization.

4006364636004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642460 (or 642458 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 4006364636004 in words is "four trillion, six billion, three hundred sixty-four million, six hundred thirty-six thousand, four".