605643236352 has 2640 divisors, whose sum is σ = 2602259066880. Its totient is φ = 137952460800.

The previous prime is 605643236251. The next prime is 605643236413. The reversal of 605643236352 is 253632346506.

605643236352 is a `hidden beast` number, since 6 + 0 + 5 + 6 + 4 + 3 + 2 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 605643236298 and 605643236307.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19536878577 + ... + 19536878607.

It is an arithmetic number, because the mean of its divisors is an integer number (985704192).

Almost surely, 2^605643236352 is an apocalyptic number.

605643236352 is a gapful number since it is divisible by the number (62) 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 605643236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301129533440).

605643236352 is an abundant number, since it is smaller than the sum of its proper divisors (1996615830528).

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

605643236352 is a wasteful number, since it uses less digits than its factorization.

605643236352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 605643236352 in words is "six hundred five billion, six hundred forty-three million, two hundred thirty-six thousand, three hundred fifty-two".