6409725696001 has 2 divisors, whose sum is σ = 6409725696002. Its totient is φ = 6409725696000.

The previous prime is 6409725695941. The next prime is 6409725696071. The reversal of 6409725696001 is 1006965279046.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3730398667776 + 2679327028225 = 1931424^2 + 1636865^2 .

It is a cyclic number.

It is not a de Polignac number, because 6409725696001 - 2¹³ = 6409725687809 is a prime.

It is not a weakly prime, because it can be changed into another prime (6409725696071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3204862848000 + 3204862848001.

It is an arithmetic number, because the mean of its divisors is an integer number (3204862848001).

Almost surely, 2^{6409725696001} is an apocalyptic number.

It is an amenable number.

6409725696001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6409725696001 is an equidigital number, since it uses as much as digits as its factorization.

6409725696001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 6409725696001 in words is "six trillion, four hundred nine billion, seven hundred twenty-five million, six hundred ninety-six thousand, one".