6630441840 has 480 divisors, whose sum is σ = 26218321920. Its totient is φ = 1536099840.

The previous prime is 6630441793. The next prime is 6630441869. The reversal of 6630441840 is 481440366.

6630441840 is a `hidden beast` number, since 6 + 630 + 4 + 4 + 18 + 4 + 0 = 666.

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

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 = 6630441795 and 6630441804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6010729 + ... + 6011831.

It is an arithmetic number, because the mean of its divisors is an integer number (54621504).

Almost surely, 2^6630441840 is an apocalyptic number.

6630441840 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 6630441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109160960).

6630441840 is an abundant number, since it is smaller than the sum of its proper divisors (19587880080).

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

6630441840 is a wasteful number, since it uses less digits than its factorization.

6630441840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6630441840 is about 81427.5250759840. The cubic root of 6630441840 is about 1878.6569780358.

The spelling of 6630441840 in words is "six billion, six hundred thirty million, four hundred forty-one thousand, eight hundred forty".