82849540660767 has 24 divisors (see below), whose sum is σ = 120746887619904. Its totient is φ = 54736853359104.

The previous prime is 82849540660751. The next prime is 82849540660771. The reversal of 82849540660767 is 76706604594828.

82849540660767 is a `hidden beast` number, since 8 + 2 + 8 + 4 + 9 + 5 + 4 + 0 + 6 + 607 + 6 + 7 = 666.

It is not a de Polignac number, because 82849540660767 - 2⁴ = 82849540660751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82849540660695 and 82849540660704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82849540660717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2051338 + ... + 13034840.

It is an arithmetic number, because the mean of its divisors is an integer number (5031120317496).

Almost surely, 2^{82849540660767} is an apocalyptic number.

82849540660767 is a deficient number, since it is larger than the sum of its proper divisors (37897346959137).

82849540660767 is a wasteful number, since it uses less digits than its factorization.

82849540660767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991039 (or 10991036 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 82849540660767 in words is "eighty-two trillion, eight hundred forty-nine billion, five hundred forty million, six hundred sixty thousand, seven hundred sixty-seven".