6628828164480 has 512 divisors, whose sum is σ = 23696326656000. Its totient is φ = 1751234494464.

The previous prime is 6628828164433. The next prime is 6628828164481. The reversal of 6628828164480 is 844618288266.

6628828164480 is a `hidden beast` number, since 6 + 62 + 8 + 82 + 8 + 16 + 4 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628828164481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294943361 + ... + 1294948479.

It is an arithmetic number, because the mean of its divisors is an integer number (46281888000).

Almost surely, 2^{6628828164480} is an apocalyptic number.

6628828164480 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 6628828164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848163328000).

6628828164480 is an abundant number, since it is smaller than the sum of its proper divisors (17067498491520).

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

6628828164480 is a wasteful number, since it uses less digits than its factorization.

6628828164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 6628828164480 in words is "six trillion, six hundred twenty-eight billion, eight hundred twenty-eight million, one hundred sixty-four thousand, four hundred eighty".