6556728096 has 144 divisors (see below), whose sum is σ = 19795616568. Its totient is φ = 2051481600.

The previous prime is 6556728053. The next prime is 6556728109. The reversal of 6556728096 is 6908276556.

It is a happy number.

6556728096 is a `hidden beast` number, since 6 + 556 + 7 + 2 + 80 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2806880400 + 3749847696 = 52980^2 + 61236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059626 + ... + 2062806.

Almost surely, 2^6556728096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6556728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897808284).

6556728096 is an abundant number, since it is smaller than the sum of its proper divisors (13238888472).

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

6556728096 is a wasteful number, since it uses less digits than its factorization.

6556728096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3624 counting only the distinct ones).

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

The square root of 6556728096 is about 80973.6259284466. The cubic root of 6556728096 is about 1871.6690462493.

The spelling of 6556728096 in words is "six billion, five hundred fifty-six million, seven hundred twenty-eight thousand, ninety-six".