6688604160 has 532 divisors, whose sum is σ = 27506193168. Its totient is φ = 1528823808.

The previous prime is 6688604147. The next prime is 6688604161. The reversal of 6688604160 is 614068866.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ (2!)⁵.

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

It is not an unprimeable number, because it can be changed into a prime (6688604161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 955514877 + ... + 955514883.

Almost surely, 2^6688604160 is an apocalyptic number.

6688604160 is a gapful number since it is divisible by the number (60) 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 6688604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753096584).

6688604160 is an abundant number, since it is smaller than the sum of its proper divisors (20817589008).

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

6688604160 is an frugal number, since it uses more digits than its factorization.

6688604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6688604160 is about 81783.8869215691. The cubic root of 6688604160 is about 1884.1341946686.

The spelling of 6688604160 in words is "six billion, six hundred eighty-eight million, six hundred four thousand, one hundred sixty".