8066671840080 has 1440 divisors, whose sum is σ = 34382865632544. Its totient is φ = 1682852806656.

The previous prime is 8066671840079. The next prime is 8066671840193. The reversal of 8066671840080 is 800481766608.

It can be written as a sum of positive squares in 16 ways, for example, as 1191913695504 + 6874758144576 = 1091748^2 + 2621976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8066671839999 and 8066671840026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13159333854 + ... + 13159334466.

Almost surely, 2^{8066671840080} is an apocalyptic number.

8066671840080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066671840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191432816272).

8066671840080 is an abundant number, since it is smaller than the sum of its proper divisors (26316193792464).

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

8066671840080 is a wasteful number, since it uses less digits than its factorization.

8066671840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8066671840080 in words is "eight trillion, sixty-six billion, six hundred seventy-one million, eight hundred forty thousand, eighty".