6630656760 has 640 divisors, whose sum is σ = 28120942080. Its totient is φ = 1363848192.

The previous prime is 6630656759. The next prime is 6630656783. The reversal of 6630656760 is 676560366.

It is a happy number.

6630656760 is a `hidden beast` number, since 6 + 630 + 6 + 5 + 6 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12677859 + ... + 12678381.

It is an arithmetic number, because the mean of its divisors is an integer number (43938972).

Almost surely, 2^6630656760 is an apocalyptic number.

6630656760 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 6630656760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060471040).

6630656760 is an abundant number, since it is smaller than the sum of its proper divisors (21490285320).

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

6630656760 is a wasteful number, since it uses less digits than its factorization.

6630656760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6630656760 is about 81428.8447664585. The cubic root of 6630656760 is about 1878.6772761600.

The spelling of 6630656760 in words is "six billion, six hundred thirty million, six hundred fifty-six thousand, seven hundred sixty".