8066832719040 has 504 divisors, whose sum is σ = 28919365124832. Its totient is φ = 2063465349120.

The previous prime is 8066832718963. The next prime is 8066832719063. The reversal of 8066832719040 is 409172386608.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279918712 + ... + 279947528.

It is an arithmetic number, because the mean of its divisors is an integer number (57379692708).

Almost surely, 2^{8066832719040} is an apocalyptic number.

8066832719040 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 8066832719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459682562416).

8066832719040 is an abundant number, since it is smaller than the sum of its proper divisors (20852532405792).

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

8066832719040 is a wasteful number, since it uses less digits than its factorization.

8066832719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985 (or 28935 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8066832719040 in words is "eight trillion, sixty-six billion, eight hundred thirty-two million, seven hundred nineteen thousand, forty".