6779736261 has 32 divisors (see below), whose sum is σ = 10643875200. Its totient is φ = 4257509760.

The previous prime is 6779736251. The next prime is 6779736263. The reversal of 6779736261 is 1626379776.

6779736261 is a `hidden beast` number, since 6 + 7 + 7 + 9 + 7 + 3 + 626 + 1 = 666.

It is not a de Polignac number, because 6779736261 - 2¹⁹ = 6779211973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6779736198 and 6779736207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6779736263) 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 in 31 ways as a sum of consecutive naturals, for example, 73491 + ... + 137696.

It is an arithmetic number, because the mean of its divisors is an integer number (332621100).

Almost surely, 2^6779736261 is an apocalyptic number.

It is an amenable number.

6779736261 is a deficient number, since it is larger than the sum of its proper divisors (3864138939).

6779736261 is a wasteful number, since it uses less digits than its factorization.

6779736261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211266 (or 211260 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 6779736261 is about 82339.1538759052. The cubic root of 6779736261 is about 1892.6527199666.

The spelling of 6779736261 in words is "six billion, seven hundred seventy-nine million, seven hundred thirty-six thousand, two hundred sixty-one".