8067893904 has 180 divisors, whose sum is σ = 26394597840. Its totient is φ = 2293764480.

The previous prime is 8067893893. The next prime is 8067893917. The reversal of 8067893904 is 4093987608.

It is a super-2 number, since 2×8067893904² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1486107 + ... + 1491525.

Almost surely, 2^8067893904 is an apocalyptic number.

8067893904 is a gapful number since it is divisible by the number (84) 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 8067893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197298920).

8067893904 is an abundant number, since it is smaller than the sum of its proper divisors (18326703936).

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

8067893904 is a wasteful number, since it uses less digits than its factorization.

8067893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8067893904 is about 89821.4556996267. The cubic root of 8067893904 is about 2005.6418948788.

The spelling of 8067893904 in words is "eight billion, sixty-seven million, eight hundred ninety-three thousand, nine hundred four".