609020481685200 has 480 divisors, whose sum is σ = 2133058467187200. Its totient is φ = 147624239093760.

The previous prime is 609020481685183. The next prime is 609020481685271. The reversal of 609020481685200 is 2586184020906.

It is a happy number.

It is a super-2 number, since 2×609020481685200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3071743671 + ... + 3071941929.

It is an arithmetic number, because the mean of its divisors is an integer number (4443871806640).

Almost surely, 2^{609020481685200} is an apocalyptic number.

609020481685200 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 609020481685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066529233593600).

609020481685200 is an abundant number, since it is smaller than the sum of its proper divisors (1524037985502000).

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

609020481685200 is a wasteful number, since it uses less digits than its factorization.

609020481685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201299 (or 201288 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 609020481685200 in words is "six hundred nine trillion, twenty billion, four hundred eighty-one million, six hundred eighty-five thousand, two hundred".