3005629066641 has 32 divisors (see below), whose sum is σ = 4163995314688. Its totient is φ = 1926975536640.

The previous prime is 3005629066621. The next prime is 3005629066681. The reversal of 3005629066641 is 1466609265003.

It is a happy number.

It is not a de Polignac number, because 3005629066641 - 2⁶ = 3005629066577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3005629066621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17346726 + ... + 17519136.

It is an arithmetic number, because the mean of its divisors is an integer number (130124853584).

Almost surely, 2^{3005629066641} is an apocalyptic number.

It is an amenable number.

3005629066641 is a deficient number, since it is larger than the sum of its proper divisors (1158366248047).

3005629066641 is a wasteful number, since it uses less digits than its factorization.

3005629066641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174541.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 3005629066641 in words is "three trillion, five billion, six hundred twenty-nine million, sixty-six thousand, six hundred forty-one".