6556782960 has 960 divisors, whose sum is σ = 29898086400. Its totient is φ = 1248141312.

The previous prime is 6556782959. The next prime is 6556782977. The reversal of 6556782960 is 692876556.

It is a happy number.

6556782960 is a `hidden beast` number, since 6 + 556 + 7 + 8 + 29 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6556782897 and 6556782906.

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 191 ways as a sum of consecutive naturals, for example, 28632126 + ... + 28632354.

It is an arithmetic number, because the mean of its divisors is an integer number (31143840).

Almost surely, 2^6556782960 is an apocalyptic number.

6556782960 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 6556782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949043200).

6556782960 is an abundant number, since it is smaller than the sum of its proper divisors (23341303440).

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

6556782960 is a wasteful number, since it uses less digits than its factorization.

6556782960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 6556782960 is about 80973.9647047123. The cubic root of 6556782960 is about 1871.6742666866.

The spelling of 6556782960 in words is "six billion, five hundred fifty-six million, seven hundred eighty-two thousand, nine hundred sixty".