99668471760 has 2240 divisors, whose sum is σ = 467227595520. Its totient is φ = 19349176320.

The previous prime is 99668471731. The next prime is 99668471809. The reversal of 99668471760 is 6717486699.

99668471760 is a `hidden beast` number, since 9 + 96 + 6 + 8 + 471 + 76 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2693742462 + ... + 2693742498.

It is an arithmetic number, because the mean of its divisors is an integer number (208583748).

Almost surely, 2^99668471760 is an apocalyptic number.

99668471760 is a gapful number since it is divisible by the number (90) 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 99668471760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233613797760).

99668471760 is an abundant number, since it is smaller than the sum of its proper divisors (367559123760).

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

99668471760 is a wasteful number, since it uses less digits than its factorization.

99668471760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 99668471760 in words is "ninety-nine billion, six hundred sixty-eight million, four hundred seventy-one thousand, seven hundred sixty".