6558663552 has 192 divisors, whose sum is σ = 20581315200. Its totient is φ = 1812741120.

The previous prime is 6558663541. The next prime is 6558663571. The reversal of 6558663552 is 2553668556.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6558663495 and 6558663504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581899 + ... + 2584437.

It is an arithmetic number, because the mean of its divisors is an integer number (107194350).

Almost surely, 2^6558663552 is an apocalyptic number.

6558663552 is a gapful number since it is divisible by the number (62) 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 6558663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290657600).

6558663552 is an abundant number, since it is smaller than the sum of its proper divisors (14022651648).

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

6558663552 is a wasteful number, since it uses less digits than its factorization.

6558663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2582 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 51.

The square root of 6558663552 is about 80985.5761972464. The cubic root of 6558663552 is about 1871.8531917891.

The spelling of 6558663552 in words is "six billion, five hundred fifty-eight million, six hundred sixty-three thousand, five hundred fifty-two".