6630433344 has 168 divisors, whose sum is σ = 20261072000. Its totient is φ = 2067047424.

The previous prime is 6630433343. The next prime is 6630433349. The reversal of 6630433344 is 4433340366.

6630433344 is a `hidden beast` number, since 6 + 6 + 304 + 3 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6630433299 and 6630433308.

It is not an unprimeable number, because it can be changed into a prime (6630433343) 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, 860742 + ... + 868410.

Almost surely, 2^6630433344 is an apocalyptic number.

6630433344 is a gapful number since it is divisible by the number (64) 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 6630433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130536000).

6630433344 is an abundant number, since it is smaller than the sum of its proper divisors (13630638656).

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

6630433344 is a wasteful number, since it uses less digits than its factorization.

6630433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The square root of 6630433344 is about 81427.4729068758. The cubic root of 6630433344 is about 1878.6561756219.

The spelling of 6630433344 in words is "six billion, six hundred thirty million, four hundred thirty-three thousand, three hundred forty-four".