6680774880 has 288 divisors, whose sum is σ = 24710422464. Its totient is φ = 1633886208.

The previous prime is 6680774873. The next prime is 6680774897. The reversal of 6680774880 is 884770866.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 3125172 + ... + 3127308.

It is an arithmetic number, because the mean of its divisors is an integer number (85800078).

Almost surely, 2^6680774880 is an apocalyptic number.

6680774880 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 6680774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355211232).

6680774880 is an abundant number, since it is smaller than the sum of its proper divisors (18029647584).

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

6680774880 is a wasteful number, since it uses less digits than its factorization.

6680774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 6680774880 is about 81736.0072428303. The cubic root of 6680774880 is about 1883.3987560396.

The spelling of 6680774880 in words is "six billion, six hundred eighty million, seven hundred seventy-four thousand, eight hundred eighty".