8646821568 has 672 divisors, whose sum is σ = 33677230080. Its totient is φ = 2052864000.

The previous prime is 8646821563. The next prime is 8646821591. The reversal of 8646821568 is 8651286468.

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

It is not an unprimeable number, because it can be changed into a prime (8646821563) 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, 26123163 + ... + 26123493.

Almost surely, 2^8646821568 is an apocalyptic number.

8646821568 is a gapful number since it is divisible by the number (88) 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 8646821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838615040).

8646821568 is an abundant number, since it is smaller than the sum of its proper divisors (25030408512).

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

8646821568 is a wasteful number, since it uses less digits than its factorization.

8646821568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 8646821568 is about 92988.2872624289. The cubic root of 8646821568 is about 2052.5110271532.

The spelling of 8646821568 in words is "eight billion, six hundred forty-six million, eight hundred twenty-one thousand, five hundred sixty-eight".