8099481600 has 1008 divisors, whose sum is σ = 35520226560. Its totient is φ = 1791590400.

The previous prime is 8099481589. The next prime is 8099481629. The reversal of 8099481600 is 61849908.

8099481600 is a `hidden beast` number, since 80 + 99 + 481 + 6 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261273585 + ... + 261273615.

It is an arithmetic number, because the mean of its divisors is an integer number (35238320).

Almost surely, 2^8099481600 is an apocalyptic number.

8099481600 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 8099481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760113280).

8099481600 is an abundant number, since it is smaller than the sum of its proper divisors (27420744960).

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

8099481600 is an equidigital number, since it uses as much as digits as its factorization.

8099481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8099481600 is about 89997.1199539185. The cubic root of 8099481600 is about 2008.2560056237.

The spelling of 8099481600 in words is "eight billion, ninety-nine million, four hundred eighty-one thousand, six hundred".