8468933760 has 768 divisors, whose sum is σ = 35286451200. Its totient is φ = 1831403520.

The previous prime is 8468933723. The next prime is 8468933761. The reversal of 8468933760 is 673398648.

8468933760 is a `hidden beast` number, since 8 + 468 + 93 + 37 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8468933697 and 8468933706.

It is not an unprimeable number, because it can be changed into a prime (8468933761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77696586 + ... + 77696694.

It is an arithmetic number, because the mean of its divisors is an integer number (45945900).

Almost surely, 2^8468933760 is an apocalyptic number.

8468933760 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 8468933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643225600).

8468933760 is an abundant number, since it is smaller than the sum of its proper divisors (26817517440).

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

8468933760 is a wasteful number, since it uses less digits than its factorization.

8468933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 8468933760 is about 92026.8100066497. The cubic root of 8468933760 is about 2038.3382083729.

The spelling of 8468933760 in words is "eight billion, four hundred sixty-eight million, nine hundred thirty-three thousand, seven hundred sixty".