99664165440 has 1008 divisors, whose sum is σ = 419551591680. Its totient is φ = 21685063680.

The previous prime is 99664165343. The next prime is 99664165451. The reversal of 99664165440 is 4456146699.

99664165440 is a `hidden beast` number, since 9 + 96 + 6 + 4 + 1 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1403720605 + ... + 1403720675.

Almost surely, 2^99664165440 is an apocalyptic number.

99664165440 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 99664165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209775795840).

99664165440 is an abundant number, since it is smaller than the sum of its proper divisors (319887426240).

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

99664165440 is an equidigital number, since it uses as much as digits as its factorization.

99664165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 99664165440 in words is "ninety-nine billion, six hundred sixty-four million, one hundred sixty-five thousand, four hundred forty".