6682777920 has 672 divisors, whose sum is σ = 28997160192. Its totient is φ = 1374879744.

The previous prime is 6682777879. The next prime is 6682777931. The reversal of 6682777920 is 297772866.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 11269144 + ... + 11269736.

It is an arithmetic number, because the mean of its divisors is an integer number (43150536).

Almost surely, 2^6682777920 is an apocalyptic number.

6682777920 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 6682777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498580096).

6682777920 is an abundant number, since it is smaller than the sum of its proper divisors (22314382272).

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

6682777920 is a wasteful number, since it uses less digits than its factorization.

6682777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 6682777920 is about 81748.2594310117. The cubic root of 6682777920 is about 1883.5869650496.

The spelling of 6682777920 in words is "six billion, six hundred eighty-two million, seven hundred seventy-seven thousand, nine hundred twenty".