8633728288368 has 400 divisors, whose sum is σ = 26734716797184. Its totient is φ = 2680392591360.

The previous prime is 8633728288349. The next prime is 8633728288397. The reversal of 8633728288368 is 8638828273368.

8633728288368 is a `hidden beast` number, since 8 + 6 + 337 + 2 + 8 + 288 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8633728288296 and 8633728288305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3411191263 + ... + 3411193793.

Almost surely, 2^{8633728288368} 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 8633728288368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367358398592).

8633728288368 is an abundant number, since it is smaller than the sum of its proper divisors (18100988508816).

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

8633728288368 is a wasteful number, since it uses less digits than its factorization.

8633728288368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4107 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 8633728288368 in words is "eight trillion, six hundred thirty-three billion, seven hundred twenty-eight million, two hundred eighty-eight thousand, three hundred sixty-eight".