8664528434688 has 2160 divisors, whose sum is σ = 33123543957504. Its totient is φ = 2251760394240.

The previous prime is 8664528434663. The next prime is 8664528434741. The reversal of 8664528434688 is 8864348254668.

8664528434688 is a `hidden beast` number, since 8 + 6 + 6 + 4 + 528 + 4 + 34 + 68 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68224633281 + ... + 68224633407.

Almost surely, 2^{8664528434688} 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 8664528434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561771978752).

8664528434688 is an abundant number, since it is smaller than the sum of its proper divisors (24459015522816).

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

8664528434688 is a wasteful number, since it uses less digits than its factorization.

8664528434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 189 counting only the distinct ones).

The product of its digits is 1698693120, while the sum is 72.

The spelling of 8664528434688 in words is "eight trillion, six hundred sixty-four billion, five hundred twenty-eight million, four hundred thirty-four thousand, six hundred eighty-eight".