733628608713 has 288 divisors, whose sum is σ = 1524378465792. Its totient is φ = 330091407360.

The previous prime is 733628608679. The next prime is 733628608717. The reversal of 733628608713 is 317806826337.

733628608713 is a `hidden beast` number, since 7 + 3 + 3 + 6 + 28 + 608 + 7 + 1 + 3 = 666.

733628608713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 733628608713 - 2⁹ = 733628608201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 733628608713.

It is not an unprimeable number, because it can be changed into a prime (733628608717) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120798645 + ... + 120804717.

It is an arithmetic number, because the mean of its divisors is an integer number (5292980784).

Almost surely, 2^733628608713 is an apocalyptic number.

It is an amenable number.

733628608713 is an abundant number, since it is smaller than the sum of its proper divisors (790749857079).

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

733628608713 is a wasteful number, since it uses less digits than its factorization.

733628608713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

It can be divided in two parts, 733628 and 608713, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 733628608713 in words is "seven hundred thirty-three billion, six hundred twenty-eight million, six hundred eight thousand, seven hundred thirteen".