6404272102727 has 8 divisors (see below), whose sum is σ = 6438378096000. Its totient is φ = 6370185347064.

The previous prime is 6404272102721. The next prime is 6404272102819. The reversal of 6404272102727 is 7272012724046.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6404272102727 - 2⁸ = 6404272102471 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404272102721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4141577 + ... + 5473682.

It is an arithmetic number, because the mean of its divisors is an integer number (804797262000).

Almost surely, 2^{6404272102727} is an apocalyptic number.

6404272102727 is a deficient number, since it is larger than the sum of its proper divisors (34105993273).

6404272102727 is a wasteful number, since it uses less digits than its factorization.

6404272102727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9618805.

The product of its (nonzero) digits is 526848, while the sum is 44.

The spelling of 6404272102727 in words is "six trillion, four hundred four billion, two hundred seventy-two million, one hundred two thousand, seven hundred twenty-seven".