8006171240760 has 256 divisors, whose sum is σ = 30452707123200. Its totient is φ = 1635422937600.

The previous prime is 8006171240719. The next prime is 8006171240807. The reversal of 8006171240760 is 670421716008.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6797796 + ... + 7888115.

It is an arithmetic number, because the mean of its divisors is an integer number (118955887200).

Almost surely, 2^{8006171240760} is an apocalyptic number.

It is an amenable number.

8006171240760 is an abundant number, since it is smaller than the sum of its proper divisors (22446535882440).

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

8006171240760 is a wasteful number, since it uses less digits than its factorization.

8006171240760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686002 (or 14685998 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

Adding to 8006171240760 its reverse (670421716008), we get a palindrome (8676592956768).

The spelling of 8006171240760 in words is "eight trillion, six billion, one hundred seventy-one million, two hundred forty thousand, seven hundred sixty".