4006640058633 has 24 divisors (see below), whose sum is σ = 5797569336000. Its totient is φ = 2666386348704.

The previous prime is 4006640058607. The next prime is 4006640058649. The reversal of 4006640058633 is 3368500466004.

4006640058633 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 6 + 4 + 0 + 0 + 5 + 8 + 633 = 666.

It is not a de Polignac number, because 4006640058633 - 2⁶ = 4006640058569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4006640058233) 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, 71882691 + ... + 71938407.

It is an arithmetic number, because the mean of its divisors is an integer number (241565389000).

Almost surely, 2^{4006640058633} is an apocalyptic number.

It is an amenable number.

4006640058633 is a deficient number, since it is larger than the sum of its proper divisors (1790929277367).

4006640058633 is a wasteful number, since it uses less digits than its factorization.

4006640058633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69661 (or 69658 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4006640058633 in words is "four trillion, six billion, six hundred forty million, fifty-eight thousand, six hundred thirty-three".