5629611068928 has 1280 divisors, whose sum is σ = 21260476385280. Its totient is φ = 1428494745600.

The previous prime is 5629611068897. The next prime is 5629611068929. The reversal of 5629611068928 is 8298601169265.

5629611068928 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 611 + 0 + 6 + 8 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629611068929) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17985977700 + ... + 17985978012.

It is an arithmetic number, because the mean of its divisors is an integer number (16609747176).

Almost surely, 2^{5629611068928} 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 5629611068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630238192640).

5629611068928 is an abundant number, since it is smaller than the sum of its proper divisors (15630865316352).

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

5629611068928 is a wasteful number, since it uses less digits than its factorization.

5629611068928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 5629611068928 in words is "five trillion, six hundred twenty-nine billion, six hundred eleven million, sixty-eight thousand, nine hundred twenty-eight".