505964761344 has 729 divisors, whose sum is σ = 1781936528463. Its totient is φ = 137664479232.

The previous prime is 505964761333. The next prime is 505964761349. The reversal of 505964761344 is 443167469505.

It is a happy number.

The square root of 505964761344 is 711312.

It is a perfect power (a square), and thus also a powerful number.

505964761344 is a `hidden beast` number, since 5 + 0 + 596 + 4 + 7 + 6 + 1 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4292870400 + 501671890944 = 65520^2 + 708288^2 .

It is not an unprimeable number, because it can be changed into a prime (505964761349) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6931024092 + ... + 6931024164.

Almost surely, 2^505964761344 is an apocalyptic number.

505964761344 is the 711312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505964761344

505964761344 is an abundant number, since it is smaller than the sum of its proper divisors (1275971767119).

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

505964761344 is an equidigital number, since it uses as much as digits as its factorization.

505964761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 505964761344 in words is "five hundred five billion, nine hundred sixty-four million, seven hundred sixty-one thousand, three hundred forty-four".