6628667834760 has 128 divisors (see below), whose sum is σ = 20073650688000. Its totient is φ = 1750967970560.

The previous prime is 6628667834749. The next prime is 6628667834771. The reversal of 6628667834760 is 674387668266.

It is an interprime number because it is at equal distance from previous prime (6628667834749) and next prime (6628667834771).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242803591 + ... + 242830889.

It is an arithmetic number, because the mean of its divisors is an integer number (156825396000).

Almost surely, 2^{6628667834760} is an apocalyptic number.

6628667834760 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 6628667834760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036825344000).

6628667834760 is an abundant number, since it is smaller than the sum of its proper divisors (13444982853240).

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

6628667834760 is a wasteful number, since it uses less digits than its factorization.

6628667834760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46331 (or 46327 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 69.

The spelling of 6628667834760 in words is "six trillion, six hundred twenty-eight billion, six hundred sixty-seven million, eight hundred thirty-four thousand, seven hundred sixty".