99640824192 has 1152 divisors, whose sum is σ = 383980746240. Its totient is φ = 25479401472.

The previous prime is 99640824191. The next prime is 99640824193. The reversal of 99640824192 is 29142804699.

99640824192 is a `hidden beast` number, since 99 + 64 + 0 + 82 + 419 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (99640824191) and next prime (99640824193).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×99640824192² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99640824191) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 931222603 + ... + 931222709.

It is an arithmetic number, because the mean of its divisors is an integer number (333316620).

Almost surely, 2^99640824192 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 99640824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

99640824192 is an abundant number, since it is smaller than the sum of its proper divisors (284339922048).

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

99640824192 is a wasteful number, since it uses less digits than its factorization.

99640824192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 99640824192 in words is "ninety-nine billion, six hundred forty million, eight hundred twenty-four thousand, one hundred ninety-two".