8656663680 has 384 divisors, whose sum is σ = 34964392320. Its totient is φ = 1932263424.

The previous prime is 8656663669. The next prime is 8656663703. The reversal of 8656663680 is 863666568.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8656663680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731264 + ... + 1736256.

It is an arithmetic number, because the mean of its divisors is an integer number (91053105).

Almost surely, 2^8656663680 is an apocalyptic number.

8656663680 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 8656663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482196160).

8656663680 is an abundant number, since it is smaller than the sum of its proper divisors (26307728640).

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

8656663680 is a wasteful number, since it uses less digits than its factorization.

8656663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 8656663680 is about 93041.1934575218. The cubic root of 8656663680 is about 2053.2894782710.

The spelling of 8656663680 in words is "eight billion, six hundred fifty-six million, six hundred sixty-three thousand, six hundred eighty".