8672640129081 has 24 divisors (see below), whose sum is σ = 12536190940104. Its totient is φ = 5777586816000.

The previous prime is 8672640129077. The next prime is 8672640129091. The reversal of 8672640129081 is 1809210462768.

It is a happy number.

8672640129081 is a `hidden beast` number, since 8 + 6 + 72 + 6 + 401 + 2 + 90 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 705902432400 + 7966737696681 = 840180^2 + 2822541^2 .

It is not a de Polignac number, because 8672640129081 - 2² = 8672640129077 is a prime.

It is a super-3 number, since 3×8672640129081³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (8672640129091) 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, 129802375 + ... + 129869171.

It is an arithmetic number, because the mean of its divisors is an integer number (522341289171).

Almost surely, 2^{8672640129081} is an apocalyptic number.

It is an amenable number.

8672640129081 is a deficient number, since it is larger than the sum of its proper divisors (3863550811023).

8672640129081 is a wasteful number, since it uses less digits than its factorization.

8672640129081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77001 (or 76998 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8672640129081 in words is "eight trillion, six hundred seventy-two billion, six hundred forty million, one hundred twenty-nine thousand, eighty-one".