6557656224 has 192 divisors, whose sum is σ = 21084973056. Its totient is φ = 1743565824.

The previous prime is 6557656213. The next prime is 6557656243. The reversal of 6557656224 is 4226567556.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566139 + ... + 577605.

It is an arithmetic number, because the mean of its divisors is an integer number (109817568).

Almost surely, 2^6557656224 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 6557656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542486528).

6557656224 is an abundant number, since it is smaller than the sum of its proper divisors (14527316832).

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

6557656224 is a wasteful number, since it uses less digits than its factorization.

6557656224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11547 (or 11539 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The square root of 6557656224 is about 80979.3567768972. The cubic root of 6557656224 is about 1871.7573558687.

The spelling of 6557656224 in words is "six billion, five hundred fifty-seven million, six hundred fifty-six thousand, two hundred twenty-four".