606096550800 has 480 divisors, whose sum is σ = 2325548655360. Its totient is φ = 149042073600.

The previous prime is 606096550739. The next prime is 606096550837. The reversal of 606096550800 is 8055690606.

606096550800 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 96 + 550 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 212142972 + ... + 212145828.

It is an arithmetic number, because the mean of its divisors is an integer number (4844893032).

Almost surely, 2^606096550800 is an apocalyptic number.

606096550800 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 606096550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162774327680).

606096550800 is an abundant number, since it is smaller than the sum of its proper divisors (1719452104560).

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

606096550800 is a wasteful number, since it uses less digits than its factorization.

606096550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 606096550800 in words is "six hundred six billion, ninety-six million, five hundred fifty thousand, eight hundred".