628639105664160 has 288 divisors, whose sum is σ = 2199060160839360. Its totient is φ = 163436266598400.

The previous prime is 628639105664149. The next prime is 628639105664203. The reversal of 628639105664160 is 61466501936826.

628639105664160 is a `hidden beast` number, since 6 + 2 + 8 + 6 + 3 + 9 + 1 + 0 + 566 + 4 + 1 + 60 = 666.

628639105664160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82490395 + ... + 89788325.

It is an arithmetic number, because the mean of its divisors is an integer number (7635625558470).

Almost surely, 2^{628639105664160} is an apocalyptic number.

628639105664160 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 628639105664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099530080419680).

628639105664160 is an abundant number, since it is smaller than the sum of its proper divisors (1570421055175200).

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

628639105664160 is a wasteful number, since it uses less digits than its factorization.

628639105664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299452 (or 7299441 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 628639105664160 in words is "six hundred twenty-eight trillion, six hundred thirty-nine billion, one hundred five million, six hundred sixty-four thousand, one hundred sixty".