6630756 has 48 divisors (see below), whose sum is σ = 17031168. Its totient is φ = 1991200.

The previous prime is 6630749. The next prime is 6630769. The reversal of 6630756 is 6570366.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25081 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (354816).

Almost surely, 2^6630756 is an apocalyptic number.

6630756 is a gapful number since it is divisible by the number (66) 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 6630756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515584).

6630756 is an abundant number, since it is smaller than the sum of its proper divisors (10400412).

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

6630756 is a wasteful number, since it uses less digits than its factorization.

6630756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 6630756 is about 2575.0254367676. The cubic root of 6630756 is about 187.8686648736.

The spelling of 6630756 in words is "six million, six hundred thirty thousand, seven hundred fifty-six".