6672927406401 has 27 divisors (see below), whose sum is σ = 10239207641923. Its totient is φ = 4186852180800.

The previous prime is 6672927406399. The next prime is 6672927406417. The reversal of 6672927406401 is 1046047292766.

The square root of 6672927406401 is 2583201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5195185697025 + 1477741709376 = 2279295^2 + 1215624^2 .

It is not a de Polignac number, because 6672927406401 - 2¹ = 6672927406399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6672927406441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131717926 + ... + 131768576.

Almost surely, 2^{6672927406401} is an apocalyptic number.

6672927406401 is the 2583201-st square number.

6672927406401 is the 1291601-st centered octagonal number.

It is an amenable number.

6672927406401 is a deficient number, since it is larger than the sum of its proper divisors (3566280235522).

6672927406401 is an frugal number, since it uses more digits than its factorization.

6672927406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101342 (or 50671 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6672927406401 in words is "six trillion, six hundred seventy-two billion, nine hundred twenty-seven million, four hundred six thousand, four hundred one".