6633628128 has 144 divisors (see below), whose sum is σ = 19737297216. Its totient is φ = 2111201280.

The previous prime is 6633628109. The next prime is 6633628129. The reversal of 6633628128 is 8218263366.

It is a happy number.

6633628128 is a `hidden beast` number, since 6 + 6 + 3 + 3 + 628 + 12 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6633628129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549000 + ... + 560952.

It is an arithmetic number, because the mean of its divisors is an integer number (137064564).

Almost surely, 2^6633628128 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 6633628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868648608).

6633628128 is an abundant number, since it is smaller than the sum of its proper divisors (13103669088).

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

6633628128 is a wasteful number, since it uses less digits than its factorization.

6633628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12057 (or 12046 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6633628128 is about 81447.0879037428. The cubic root of 6633628128 is about 1878.9578621362.

The spelling of 6633628128 in words is "six billion, six hundred thirty-three million, six hundred twenty-eight thousand, one hundred twenty-eight".