8768208960 has 672 divisors, whose sum is σ = 36484560000. Its totient is φ = 1976389632.

The previous prime is 8768208941. The next prime is 8768208961. The reversal of 8768208960 is 698028678.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8768208897 and 8768208906.

It is not an unprimeable number, because it can be changed into a prime (8768208961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58846966 + ... + 58847114.

It is an arithmetic number, because the mean of its divisors is an integer number (54292500).

Almost surely, 2^8768208960 is an apocalyptic number.

8768208960 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 8768208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280000).

8768208960 is an abundant number, since it is smaller than the sum of its proper divisors (27716351040).

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

8768208960 is a wasteful number, since it uses less digits than its factorization.

8768208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 8768208960 is about 93638.7150702101. The cubic root of 8768208960 is about 2062.0710751029.

The spelling of 8768208960 in words is "eight billion, seven hundred sixty-eight million, two hundred eight thousand, nine hundred sixty".