8410809960 has 320 divisors, whose sum is σ = 32429548800. Its totient is φ = 1915259904.

The previous prime is 8410809937. The next prime is 8410809973. The reversal of 8410809960 is 699080148.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8141604 + ... + 8142636.

It is an arithmetic number, because the mean of its divisors is an integer number (101342340).

Almost surely, 2^8410809960 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 8410809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214774400).

8410809960 is an abundant number, since it is smaller than the sum of its proper divisors (24018738840).

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

8410809960 is a wasteful number, since it uses less digits than its factorization.

8410809960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

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

The square root of 8410809960 is about 91710.4681047916. The cubic root of 8410809960 is about 2033.6643401522.

The spelling of 8410809960 in words is "eight billion, four hundred ten million, eight hundred nine thousand, nine hundred sixty".