99668827440 has 1440 divisors, whose sum is σ = 460300538880. Its totient is φ = 18733068288.

The previous prime is 99668827439. The next prime is 99668827481. The reversal of 99668827440 is 4472886699.

99668827440 is a `hidden beast` number, since 9 + 96 + 6 + 88 + 27 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 1689302131 + ... + 1689302189.

It is an arithmetic number, because the mean of its divisors is an integer number (319653152).

Almost surely, 2^99668827440 is an apocalyptic number.

99668827440 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 99668827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230150269440).

99668827440 is an abundant number, since it is smaller than the sum of its proper divisors (360631711440).

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

99668827440 is a wasteful number, since it uses less digits than its factorization.

99668827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 99668827440 in words is "ninety-nine billion, six hundred sixty-eight million, eight hundred twenty-seven thousand, four hundred forty".