608023468800 has 1296 divisors, whose sum is σ = 2643982024320. Its totient is φ = 131383296000.

The previous prime is 608023468777. The next prime is 608023468807. The reversal of 608023468800 is 8864320806.

It is a happy number.

608023468800 is a `hidden beast` number, since 608 + 0 + 2 + 34 + 6 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×608023468800² (a number of 24 digits) contains 22 as substring.

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 (608023468807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204651315 + ... + 204654285.

Almost surely, 2^608023468800 is an apocalyptic number.

608023468800 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 608023468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321991012160).

608023468800 is an abundant number, since it is smaller than the sum of its proper divisors (2035958555520).

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

608023468800 is a wasteful number, since it uses less digits than its factorization.

608023468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 608023468800 in words is "six hundred eight billion, twenty-three million, four hundred sixty-eight thousand, eight hundred".