605407944960 has 1728 divisors, whose sum is σ = 2719384432128. Its totient is φ = 125554655232.

The previous prime is 605407944937. The next prime is 605407944971. The reversal of 605407944960 is 69449704506.

It is a happy number.

605407944960 is a `hidden beast` number, since 6 + 0 + 540 + 7 + 9 + 4 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 605407944897 and 605407944906.

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, 2066238574 + ... + 2066238866.

Almost surely, 2^605407944960 is an apocalyptic number.

605407944960 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 605407944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359692216064).

605407944960 is an abundant number, since it is smaller than the sum of its proper divisors (2113976487168).

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

605407944960 is a wasteful number, since it uses less digits than its factorization.

605407944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 605407944960 in words is "six hundred five billion, four hundred seven million, nine hundred forty-four thousand, nine hundred sixty".