8199906624 has 336 divisors, whose sum is σ = 29337398272. Its totient is φ = 2131992576.

The previous prime is 8199906623. The next prime is 8199906641. The reversal of 8199906624 is 4266099918.

8199906624 is a `hidden beast` number, since 8 + 1 + 9 + 9 + 9 + 0 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199906623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3825297 + ... + 3827439.

Almost surely, 2^8199906624 is an apocalyptic number.

8199906624 is a gapful number since it is divisible by the number (84) 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 8199906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668699136).

8199906624 is an abundant number, since it is smaller than the sum of its proper divisors (21137491648).

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

8199906624 is a wasteful number, since it uses less digits than its factorization.

8199906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 8199906624 is about 90553.3357971974. The cubic root of 8199906624 is about 2016.5220209015.

The spelling of 8199906624 in words is "eight billion, one hundred ninety-nine million, nine hundred six thousand, six hundred twenty-four".