608068006560 has 384 divisors, whose sum is σ = 2465599772160. Its totient is φ = 137082544128.

The previous prime is 608068006501. The next prime is 608068006561. The reversal of 608068006560 is 65600860806.

608068006560 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 6 + 80 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (608068006561) 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, 2069794 + ... + 2345246.

It is an arithmetic number, because the mean of its divisors is an integer number (6420832740).

Almost surely, 2^608068006560 is an apocalyptic number.

608068006560 is a gapful number since it is divisible by the number (60) 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 608068006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232799886080).

608068006560 is an abundant number, since it is smaller than the sum of its proper divisors (1857531765600).

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

608068006560 is a wasteful number, since it uses less digits than its factorization.

608068006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275557 (or 275543 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 608068006560 in words is "six hundred eight billion, sixty-eight million, six thousand, five hundred sixty".