8455200768 has 448 divisors, whose sum is σ = 29526097920. Its totient is φ = 2341011456.

The previous prime is 8455200749. The next prime is 8455200781. The reversal of 8455200768 is 8670025548.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66576321 + ... + 66576447.

Almost surely, 2^8455200768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8455200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763048960).

8455200768 is an abundant number, since it is smaller than the sum of its proper divisors (21070897152).

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

8455200768 is a wasteful number, since it uses less digits than its factorization.

8455200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8455200768 is about 91952.1656514951. The cubic root of 8455200768 is about 2037.2358410871.

The spelling of 8455200768 in words is "eight billion, four hundred fifty-five million, two hundred thousand, seven hundred sixty-eight".