646203761424 has 135 divisors (see below), whose sum is σ = 1958667462687. Its totient is φ = 198793340928.

The previous prime is 646203761419. The next prime is 646203761443. The reversal of 646203761424 is 424167302646.

The square root of 646203761424 is 803868.

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

646203761424 is a `hidden beast` number, since 6 + 4 + 6 + 2 + 0 + 3 + 7 + 614 + 24 = 666.

646203761424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41915191824 + 604288569600 = 204732^2 + 777360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 646203761424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125400832 + ... + 125405984.

Almost surely, 2^646203761424 is an apocalyptic number.

646203761424 is the 803868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646203761424

646203761424 is an abundant number, since it is smaller than the sum of its proper divisors (1312463701263).

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

646203761424 is an equidigital number, since it uses as much as digits as its factorization.

646203761424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 646203761424 in words is "six hundred forty-six billion, two hundred three million, seven hundred sixty-one thousand, four hundred twenty-four".