8006171649840 has 960 divisors, whose sum is σ = 36579047541120. Its totient is φ = 1589844049920.

The previous prime is 8006171649821. The next prime is 8006171649869. The reversal of 8006171649840 is 489461716008.

8006171649840 is a `hidden beast` number, since 8 + 0 + 0 + 617 + 16 + 4 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23219500 + ... + 23561780.

It is an arithmetic number, because the mean of its divisors is an integer number (38103174522).

Almost surely, 2^{8006171649840} is an apocalyptic number.

8006171649840 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 8006171649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289523770560).

8006171649840 is an abundant number, since it is smaller than the sum of its proper divisors (28572875891280).

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

8006171649840 is a wasteful number, since it uses less digits than its factorization.

8006171649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342347 (or 342328 counting only the distinct ones).

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

The spelling of 8006171649840 in words is "eight trillion, six billion, one hundred seventy-one million, six hundred forty-nine thousand, eight hundred forty".