8663200128 has 320 divisors, whose sum is σ = 28899533520. Its totient is φ = 2553016320.

The previous prime is 8663200123. The next prime is 8663200163. The reversal of 8663200128 is 8210023668.

8663200128 is a `hidden beast` number, since 8 + 6 + 632 + 0 + 0 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8663200092 and 8663200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8663200123) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4218750 + ... + 4220802.

Almost surely, 2^8663200128 is an apocalyptic number.

8663200128 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 8663200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449766760).

8663200128 is an abundant number, since it is smaller than the sum of its proper divisors (20236333392).

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

8663200128 is a wasteful number, since it uses less digits than its factorization.

8663200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8663200128 is about 93076.3134637379. The cubic root of 8663200128 is about 2053.8061454998.

The spelling of 8663200128 in words is "eight billion, six hundred sixty-three million, two hundred thousand, one hundred twenty-eight".