629646784128 has 320 divisors, whose sum is σ = 1988473924800. Its totient is φ = 197349875712.

The previous prime is 629646784127. The next prime is 629646784133. The reversal of 629646784128 is 821487646926.

629646784128 is a `hidden beast` number, since 6 + 2 + 96 + 467 + 84 + 1 + 2 + 8 = 666.

629646784128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (629646784127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14047000 + ... + 14091752.

It is an arithmetic number, because the mean of its divisors is an integer number (6213981015).

Almost surely, 2^629646784128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629646784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994236962400).

629646784128 is an abundant number, since it is smaller than the sum of its proper divisors (1358827140672).

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

629646784128 is a wasteful number, since it uses less digits than its factorization.

629646784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44861 (or 44840 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 629646784128 in words is "six hundred twenty-nine billion, six hundred forty-six million, seven hundred eighty-four thousand, one hundred twenty-eight".