600506485920 has 720 divisors, whose sum is σ = 2337026103720. Its totient is φ = 145105551360.

The previous prime is 600506485913. The next prime is 600506485951. The reversal of 600506485920 is 29584605006.

600506485920 is a `hidden beast` number, since 6 + 0 + 0 + 50 + 6 + 4 + 8 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330160563216 + 270345922704 = 574596^2 + 519948^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 892282704 + ... + 892283376.

Almost surely, 2^600506485920 is an apocalyptic number.

600506485920 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 600506485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168513051860).

600506485920 is an abundant number, since it is smaller than the sum of its proper divisors (1736519617800).

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

600506485920 is a wasteful number, since it uses less digits than its factorization.

600506485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 600506485920 in words is "six hundred billion, five hundred six million, four hundred eighty-five thousand, nine hundred twenty".