6829696961 has 2 divisors, whose sum is σ = 6829696962. Its totient is φ = 6829696960.

The previous prime is 6829696883. The next prime is 6829697023. The reversal of 6829696961 is 1696969286.

It is an a-pointer prime, because the next prime (6829697023) can be obtained adding 6829696961 to its sum of digits (62).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6499584400 + 330112561 = 80620^2 + 18169^2 .

It is a cyclic number.

It is not a de Polignac number, because 6829696961 - 2¹⁰ = 6829695937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6829696894 and 6829696903.

It is not a weakly prime, because it can be changed into another prime (6829696261) 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, 3414848480 + 3414848481.

It is an arithmetic number, because the mean of its divisors is an integer number (3414848481).

Almost surely, 2^6829696961 is an apocalyptic number.

It is an amenable number.

6829696961 is a deficient number, since it is larger than the sum of its proper divisors (1).

6829696961 is an equidigital number, since it uses as much as digits as its factorization.

6829696961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15116544, while the sum is 62.

The square root of 6829696961 is about 82641.9806212315. The cubic root of 6829696961 is about 1897.2904092489.

The spelling of 6829696961 in words is "six billion, eight hundred twenty-nine million, six hundred ninety-six thousand, nine hundred sixty-one".