89668075680 has 480 divisors, whose sum is σ = 321901848576. Its totient is φ = 23504173056.

The previous prime is 89668075589. The next prime is 89668075681. The reversal of 89668075680 is 8657086698.

89668075680 is a `hidden beast` number, since 8 + 9 + 6 + 68 + 0 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (89668075681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258409267 + ... + 258409613.

Almost surely, 2^89668075680 is an apocalyptic number.

89668075680 is a gapful number since it is divisible by the number (80) 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 89668075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160950924288).

89668075680 is an abundant number, since it is smaller than the sum of its proper divisors (232233772896).

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

89668075680 is a wasteful number, since it uses less digits than its factorization.

89668075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 89668075680 in words is "eighty-nine billion, six hundred sixty-eight million, seventy-five thousand, six hundred eighty".