8068999680 has 960 divisors, whose sum is σ = 35390234880. Its totient is φ = 1719926784.

The previous prime is 8068999669. The next prime is 8068999717. The reversal of 8068999680 is 869998608.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74027466 + ... + 74027574.

It is an arithmetic number, because the mean of its divisors is an integer number (36864828).

Almost surely, 2^8068999680 is an apocalyptic number.

8068999680 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 8068999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695117440).

8068999680 is an abundant number, since it is smaller than the sum of its proper divisors (27321235200).

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

8068999680 is a wasteful number, since it uses less digits than its factorization.

8068999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The square root of 8068999680 is about 89827.6108999900. The cubic root of 8068999680 is about 2005.7335209952.

The spelling of 8068999680 in words is "eight billion, sixty-eight million, nine hundred ninety-nine thousand, six hundred eighty".