6628128160 has 24 divisors (see below), whose sum is σ = 15658953156. Its totient is φ = 2651251200.

The previous prime is 6628128137. The next prime is 6628128167. The reversal of 6628128160 is 618218266.

It can be written as a sum of positive squares in 2 ways, for example, as 6413447056 + 214681104 = 80084^2 + 14652^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (6628128167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20712741 + ... + 20713060.

Almost surely, 2^6628128160 is an apocalyptic number.

It is an amenable number.

6628128160 is an abundant number, since it is smaller than the sum of its proper divisors (9030824996).

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

6628128160 is a wasteful number, since it uses less digits than its factorization.

6628128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41425816 (or 41425808 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 6628128160 is about 81413.3168468157. The cubic root of 6628128160 is about 1878.4384346938.

The spelling of 6628128160 in words is "six billion, six hundred twenty-eight million, one hundred twenty-eight thousand, one hundred sixty".