8068301317440 has 2016 divisors, whose sum is σ = 37955325582720. Its totient is φ = 1612538855424.

The previous prime is 8068301317367. The next prime is 8068301317477. The reversal of 8068301317440 is 447131038608.

8068301317440 is a `hidden beast` number, since 80 + 68 + 301 + 3 + 174 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×8068301317440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 941124994 + ... + 941133566.

It is an arithmetic number, because the mean of its divisors is an integer number (18827046420).

Almost surely, 2^{8068301317440} is an apocalyptic number.

8068301317440 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 8068301317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18977662791360).

8068301317440 is an abundant number, since it is smaller than the sum of its proper divisors (29887024265280).

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

8068301317440 is a wasteful number, since it uses less digits than its factorization.

8068301317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 8068301317440 in words is "eight trillion, sixty-eight billion, three hundred one million, three hundred seventeen thousand, four hundred forty".