6628542336 has 384 divisors, whose sum is σ = 21649336800. Its totient is φ = 2018525184.

The previous prime is 6628542287. The next prime is 6628542353. The reversal of 6628542336 is 6332458266.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6628542291 and 6628542300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68335440 + ... + 68335536.

Almost surely, 2^6628542336 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 6628542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824668400).

6628542336 is an abundant number, since it is smaller than the sum of its proper divisors (15020794464).

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

6628542336 is an frugal number, since it uses more digits than its factorization.

6628542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 115 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 6628542336 is about 81415.8604695670. The cubic root of 6628542336 is about 1878.4775602656.

The spelling of 6628542336 in words is "six billion, six hundred twenty-eight million, five hundred forty-two thousand, three hundred thirty-six".