82707336804006 has 48 divisors (see below), whose sum is σ = 183110007435264. Its totient is φ = 26968082547312.

The previous prime is 82707336803893. The next prime is 82707336804041. The reversal of 82707336804006 is 60040863370728.

82707336804006 is a `hidden beast` number, since 8 + 270 + 7 + 3 + 368 + 0 + 4 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×82707336804006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24602310 + ... + 27761273.

It is an arithmetic number, because the mean of its divisors is an integer number (3814791821568).

Almost surely, 2^{82707336804006} is an apocalyptic number.

82707336804006 is an abundant number, since it is smaller than the sum of its proper divisors (100402670631258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82707336804006 is a wasteful number, since it uses less digits than its factorization.

82707336804006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52365505 (or 52365502 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 82707336804006 in words is "eighty-two trillion, seven hundred seven billion, three hundred thirty-six million, eight hundred four thousand, six".