608428125756 has 192 divisors, whose sum is σ = 1796509532160. Its totient is φ = 176269072320.

The previous prime is 608428125743. The next prime is 608428125757. The reversal of 608428125756 is 657521824806.

608428125756 is a `hidden beast` number, since 60 + 8 + 4 + 2 + 8 + 1 + 2 + 575 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608428125757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73415445 + ... + 73423731.

It is an arithmetic number, because the mean of its divisors is an integer number (9356820480).

Almost surely, 2^608428125756 is an apocalyptic number.

608428125756 is a gapful number since it is divisible by the number (66) 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 608428125756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898254766080).

608428125756 is an abundant number, since it is smaller than the sum of its proper divisors (1188081406404).

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

608428125756 is a wasteful number, since it uses less digits than its factorization.

608428125756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 608428125756 in words is "six hundred eight billion, four hundred twenty-eight million, one hundred twenty-five thousand, seven hundred fifty-six".