8606767680 has 504 divisors, whose sum is σ = 34962632640. Its totient is φ = 1937295360.

The previous prime is 8606767669. The next prime is 8606767681. The reversal of 8606767680 is 867676068.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (8606767681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10019091 + ... + 10019949.

Almost surely, 2^8606767680 is an apocalyptic number.

8606767680 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 8606767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481316320).

8606767680 is an abundant number, since it is smaller than the sum of its proper divisors (26355864960).

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

8606767680 is a wasteful number, since it uses less digits than its factorization.

8606767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8606767680 is about 92772.6666642713. Note that the first 5 decimals coincide. The cubic root of 8606767680 is about 2049.3369007442.

The spelling of 8606767680 in words is "eight billion, six hundred six million, seven hundred sixty-seven thousand, six hundred eighty".