6733400006657 has 2 divisors, whose sum is σ = 6733400006658. Its totient is φ = 6733400006656.

The previous prime is 6733400006651. The next prime is 6733400006693. The reversal of 6733400006657 is 7566000043376.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6245680746496 + 487719260161 = 2499136^2 + 698369^2 .

It is a cyclic number.

It is not a de Polignac number, because 6733400006657 - 2²⁰ = 6733398958081 is a prime.

It is not a weakly prime, because it can be changed into another prime (6733400006651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3366700003328 + 3366700003329.

It is an arithmetic number, because the mean of its divisors is an integer number (3366700003329).

Almost surely, 2^{6733400006657} is an apocalyptic number.

It is an amenable number.

6733400006657 is a deficient number, since it is larger than the sum of its proper divisors (1).

6733400006657 is an equidigital number, since it uses as much as digits as its factorization.

6733400006657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 47.

The spelling of 6733400006657 in words is "six trillion, seven hundred thirty-three billion, four hundred million, six thousand, six hundred fifty-seven".