8409628560 has 80 divisors (see below), whose sum is σ = 26201001600. Its totient is φ = 2231285760.

The previous prime is 8409628559. The next prime is 8409628573. The reversal of 8409628560 is 658269048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 40281 + ... + 135800.

It is an arithmetic number, because the mean of its divisors is an integer number (327512520).

Almost surely, 2^8409628560 is an apocalyptic number.

8409628560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8409628560 is an abundant number, since it is smaller than the sum of its proper divisors (17791373040).

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

8409628560 is a wasteful number, since it uses less digits than its factorization.

8409628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176296 (or 176290 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8409628560 is about 91704.0269562902. The cubic root of 8409628560 is about 2033.5691181082.

The spelling of 8409628560 in words is "eight billion, four hundred nine million, six hundred twenty-eight thousand, five hundred sixty".