6679584001 has 2 divisors, whose sum is σ = 6679584002. Its totient is φ = 6679584000.

The previous prime is 6679583993. The next prime is 6679584013. The reversal of 6679584001 is 1004859766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6515718400 + 163865601 = 80720^2 + 12801^2 .

It is a cyclic number.

It is not a de Polignac number, because 6679584001 - 2³ = 6679583993 is a prime.

It is not a weakly prime, because it can be changed into another prime (6679584701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3339792000 + 3339792001.

It is an arithmetic number, because the mean of its divisors is an integer number (3339792001).

Almost surely, 2^6679584001 is an apocalyptic number.

It is an amenable number.

6679584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6679584001 is an equidigital number, since it uses as much as digits as its factorization.

6679584001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 6679584001 is about 81728.7220076272. The cubic root of 6679584001 is about 1883.2868412118.

The spelling of 6679584001 in words is "six billion, six hundred seventy-nine million, five hundred eighty-four thousand, one".