5608629120 has 512 divisors, whose sum is σ = 20473896960. Its totient is φ = 1297612800.

The previous prime is 5608629119. The next prime is 5608629121. The reversal of 5608629120 is 219268065.

It is an interprime number because it is at equal distance from previous prime (5608629119) and next prime (5608629121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5608629121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23272200 + ... + 23272440.

It is an arithmetic number, because the mean of its divisors is an integer number (39988080).

Almost surely, 2^5608629120 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 5608629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10236948480).

5608629120 is an abundant number, since it is smaller than the sum of its proper divisors (14865267840).

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

5608629120 is a wasteful number, since it uses less digits than its factorization.

5608629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5608629120 is about 74890.7812751343. The cubic root of 5608629120 is about 1776.7196580253.

The spelling of 5608629120 in words is "five billion, six hundred eight million, six hundred twenty-nine thousand, one hundred twenty".