3628440448263 has 64 divisors (see below), whose sum is σ = 5781511680000. Its totient is φ = 2243945047680.

The previous prime is 3628440448219. The next prime is 3628440448267.

3628440448263 is a `hidden beast` number, since 3 + 6 + 28 + 440 + 44 + 82 + 63 = 666.

3628440448263 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3628440448263 - 2¹³ = 3628440440071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628440448267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2836233 + ... + 3911661.

It is an arithmetic number, because the mean of its divisors is an integer number (90336120000).

Almost surely, 2^{3628440448263} is an apocalyptic number.

3628440448263 is a deficient number, since it is larger than the sum of its proper divisors (2153071231737).

3628440448263 is a wasteful number, since it uses less digits than its factorization.

3628440448263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075637 (or 1075631 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 3628440448263 in words is "three trillion, six hundred twenty-eight billion, four hundred forty million, four hundred forty-eight thousand, two hundred sixty-three".