8638559680 has 56 divisors (see below), whose sum is σ = 20629778400. Its totient is φ = 3445478400.

The previous prime is 8638559647. The next prime is 8638559681. The reversal of 8638559680 is 869558368.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638559681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73005 + ... + 150355.

It is an arithmetic number, because the mean of its divisors is an integer number (368388900).

Almost surely, 2^8638559680 is an apocalyptic number.

8638559680 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 8638559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314889200).

8638559680 is an abundant number, since it is smaller than the sum of its proper divisors (11991218720).

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

8638559680 is a wasteful number, since it uses less digits than its factorization.

8638559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77717 (or 77707 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The square root of 8638559680 is about 92943.8522980407. The cubic root of 8638559680 is about 2051.8571059460.

The spelling of 8638559680 in words is "eight billion, six hundred thirty-eight million, five hundred fifty-nine thousand, six hundred eighty".