605313434880 has 1728 divisors, whose sum is σ = 2794381244928. Its totient is φ = 117115453440.

The previous prime is 605313434849. The next prime is 605313434899. The reversal of 605313434880 is 88434313506.

605313434880 is a `hidden beast` number, since 6 + 0 + 531 + 3 + 4 + 34 + 8 + 80 = 666.

It is a super-2 number, since 2×605313434880² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2065916014 + ... + 2065916306.

It is an arithmetic number, because the mean of its divisors is an integer number (1617118776).

Almost surely, 2^605313434880 is an apocalyptic number.

605313434880 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 605313434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397190622464).

605313434880 is an abundant number, since it is smaller than the sum of its proper divisors (2189067810048).

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

605313434880 is a wasteful number, since it uses less digits than its factorization.

605313434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 605313434880 in words is "six hundred five billion, three hundred thirteen million, four hundred thirty-four thousand, eight hundred eighty".