6867596772101 has 32 divisors (see below), whose sum is σ = 7534672854240. Its totient is φ = 6220849766400.

The previous prime is 6867596772097. The next prime is 6867596772109. The reversal of 6867596772101 is 1012776957686.

It is a Cunningham number, because it is equal to 2620610²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 6644274367201 + 223322404900 = 2577649^2 + 472570^2 .

It is a cyclic number.

It is not a de Polignac number, because 6867596772101 - 2² = 6867596772097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867596772109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836589485 + ... + 836597693.

It is an arithmetic number, because the mean of its divisors is an integer number (235458526695).

Almost surely, 2^{6867596772101} is an apocalyptic number.

6867596772101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6867596772101 is a deficient number, since it is larger than the sum of its proper divisors (667076082139).

6867596772101 is a wasteful number, since it uses less digits than its factorization.

6867596772101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617.

The product of its (nonzero) digits is 53343360, while the sum is 65.

The spelling of 6867596772101 in words is "six trillion, eight hundred sixty-seven billion, five hundred ninety-six million, seven hundred seventy-two thousand, one hundred one".