605704878240 has 1536 divisors, whose sum is σ = 2631631306752. Its totient is φ = 114189926400.

The previous prime is 605704878211. The next prime is 605704878241. The reversal of 605704878240 is 42878407506.

605704878240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (605704878241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2356828192 + ... + 2356828448.

It is an arithmetic number, because the mean of its divisors is an integer number (1713301632).

Almost surely, 2^605704878240 is an apocalyptic number.

605704878240 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 605704878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315815653376).

605704878240 is an abundant number, since it is smaller than the sum of its proper divisors (2025926428512).

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

605704878240 is a wasteful number, since it uses less digits than its factorization.

605704878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 605704878240 in words is "six hundred five billion, seven hundred four million, eight hundred seventy-eight thousand, two hundred forty".