8108217600 has 864 divisors, whose sum is σ = 33188542464. Its totient is φ = 1703116800.

The previous prime is 8108217599. The next prime is 8108217631. The reversal of 8108217600 is 67128018.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132921570 + ... + 132921630.

Almost surely, 2^8108217600 is an apocalyptic number.

8108217600 is a gapful number since it is divisible by the number (80) 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 8108217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594271232).

8108217600 is an abundant number, since it is smaller than the sum of its proper divisors (25080324864).

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

8108217600 is a wasteful number, since it uses less digits than its factorization.

8108217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 8108217600 is about 90045.6417601652. The cubic root of 8108217600 is about 2008.9777728298.

The spelling of 8108217600 in words is "eight billion, one hundred eight million, two hundred seventeen thousand, six hundred".