8461808608 has 96 divisors (see below), whose sum is σ = 18802990080. Its totient is φ = 3713664000.

The previous prime is 8461808603. The next prime is 8461808609. The reversal of 8461808608 is 8068081648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461808603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8303523 + ... + 8304541.

It is an arithmetic number, because the mean of its divisors is an integer number (195864480).

Almost surely, 2^8461808608 is an apocalyptic number.

8461808608 is a gapful number since it is divisible by the number (88) 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 8461808608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401495040).

8461808608 is an abundant number, since it is smaller than the sum of its proper divisors (10341181472).

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

8461808608 is a wasteful number, since it uses less digits than its factorization.

8461808608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 8461808608 is about 91988.0894898899. The cubic root of 8461808608 is about 2037.7664109118.

The spelling of 8461808608 in words is "eight billion, four hundred sixty-one million, eight hundred eight thousand, six hundred eight".