8689735665072 has 1440 divisors, whose sum is σ = 33669982760960. Its totient is φ = 2039725670400.

The previous prime is 8689735664959. The next prime is 8689735665073. The reversal of 8689735665072 is 2705665379868.

It is a happy number.

8689735665072 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 7 + 3 + 566 + 50 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8689735665073) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5244257268 + ... + 5244258924.

Almost surely, 2^{8689735665072} 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 8689735665072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834991380480).

8689735665072 is an abundant number, since it is smaller than the sum of its proper divisors (24980247095888).

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

8689735665072 is a wasteful number, since it uses less digits than its factorization.

8689735665072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 8689735665072 in words is "eight trillion, six hundred eighty-nine billion, seven hundred thirty-five million, six hundred sixty-five thousand, seventy-two".