608085066240 has 960 divisors, whose sum is σ = 2322886325760. Its totient is φ = 152165744640.

The previous prime is 608085066229. The next prime is 608085066247. The reversal of 608085066240 is 42660580806.

608085066240 is a `hidden beast` number, since 6 + 0 + 80 + 8 + 506 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (608085066247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667491385 + ... + 667492295.

It is an arithmetic number, because the mean of its divisors is an integer number (2419673256).

Almost surely, 2^608085066240 is an apocalyptic number.

608085066240 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 608085066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161443162880).

608085066240 is an abundant number, since it is smaller than the sum of its proper divisors (1714801259520).

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

608085066240 is an equidigital number, since it uses as much as digits as its factorization.

608085066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 608085066240 in words is "six hundred eight billion, eighty-five million, sixty-six thousand, two hundred forty".