6629128383040 has 28 divisors (see below), whose sum is σ = 15785611962876. Its totient is φ = 2651651353088.

The previous prime is 6629128383037. The next prime is 6629128383047. The reversal of 6629128383040 is 403838219266.

It can be written as a sum of positive squares in 2 ways, for example, as 4468251902976 + 2160876480064 = 2113824^2 + 1469992^2 .

It is a super-3 number, since 3×6629128383040³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6629128383047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10358012779 + ... + 10358013418.

It is an arithmetic number, because the mean of its divisors is an integer number (563771855817).

Almost surely, 2^{6629128383040} is an apocalyptic number.

It is an amenable number.

6629128383040 is an abundant number, since it is smaller than the sum of its proper divisors (9156483579836).

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

6629128383040 is a wasteful number, since it uses less digits than its factorization.

6629128383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20716026214 (or 20716026204 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 6629128383040 in words is "six trillion, six hundred twenty-nine billion, one hundred twenty-eight million, three hundred eighty-three thousand, forty".