6684410880 has 1056 divisors, whose sum is σ = 29797507584. Its totient is φ = 1349517312.

The previous prime is 6684410833. The next prime is 6684410921. The reversal of 6684410880 is 880144866.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126120934 + ... + 126120986.

Almost surely, 2^6684410880 is an apocalyptic number.

6684410880 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 6684410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898753792).

6684410880 is an abundant number, since it is smaller than the sum of its proper divisors (23113096704).

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

6684410880 is a wasteful number, since it uses less digits than its factorization.

6684410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6684410880 is about 81758.2465565401. The cubic root of 6684410880 is about 1883.7403728945.

The spelling of 6684410880 in words is "six billion, six hundred eighty-four million, four hundred ten thousand, eight hundred eighty".