8671070791680 has 1152 divisors, whose sum is σ = 31817071278720. Its totient is φ = 2012597452800.

The previous prime is 8671070791679. The next prime is 8671070791693. The reversal of 8671070791680 is 861970701768.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9214740010 + ... + 9214740950.

It is an arithmetic number, because the mean of its divisors is an integer number (27618985485).

Almost surely, 2^{8671070791680} is an apocalyptic number.

8671070791680 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 8671070791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908535639360).

8671070791680 is an abundant number, since it is smaller than the sum of its proper divisors (23146000487040).

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

8671070791680 is a wasteful number, since it uses less digits than its factorization.

8671070791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 60.

The spelling of 8671070791680 in words is "eight trillion, six hundred seventy-one billion, seventy million, seven hundred ninety-one thousand, six hundred eighty".