6630443820 has 576 divisors, whose sum is σ = 27591782400. Its totient is φ = 1270080000.

The previous prime is 6630443801. The next prime is 6630443849. The reversal of 6630443820 is 283440366.

It is a happy number.

It is a super-3 number, since 3×6630443820³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8828445 + ... + 8829195.

It is an arithmetic number, because the mean of its divisors is an integer number (47902400).

Almost surely, 2^6630443820 is an apocalyptic number.

6630443820 is a gapful number since it is divisible by the number (60) 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 6630443820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795891200).

6630443820 is an abundant number, since it is smaller than the sum of its proper divisors (20961338580).

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

6630443820 is a wasteful number, since it uses less digits than its factorization.

6630443820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6630443820 is about 81427.5372340340. The cubic root of 6630443820 is about 1878.6571650390.

The spelling of 6630443820 in words is "six billion, six hundred thirty million, four hundred forty-three thousand, eight hundred twenty".