608005316880 has 800 divisors, whose sum is σ = 2427588624384. Its totient is φ = 139708219392.

The previous prime is 608005316879. The next prime is 608005316881. The reversal of 608005316880 is 88613500806.

608005316880 is a `hidden beast` number, since 608 + 0 + 0 + 5 + 31 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (608005316879) and next prime (608005316881).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (608005316881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 181872489 + ... + 181875831.

Almost surely, 2^608005316880 is an apocalyptic number.

608005316880 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 608005316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213794312192).

608005316880 is an abundant number, since it is smaller than the sum of its proper divisors (1819583307504).

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

608005316880 is a wasteful number, since it uses less digits than its factorization.

608005316880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 608005316880 in words is "six hundred eight billion, five million, three hundred sixteen thousand, eight hundred eighty".