641575368256 has 63 divisors (see below), whose sum is σ = 1295833868449. Its totient is φ = 315164776448.

The previous prime is 641575368173. The next prime is 641575368257. The reversal of 641575368256 is 652863575146.

It is a happy number.

The square root of 641575368256 is 800984.

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

It can be written as a sum of positive squares in only one way, i.e., 617607374400 + 23967993856 = 785880^2 + 154816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 641575368256.

It is not an unprimeable number, because it can be changed into a prime (641575368257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 378063600 + ... + 378065296.

Almost surely, 2^641575368256 is an apocalyptic number.

641575368256 is the 800984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641575368256

641575368256 is an abundant number, since it is smaller than the sum of its proper divisors (654258500193).

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

641575368256 is an frugal number, since it uses more digits than its factorization.

641575368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 1758 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 58.

The spelling of 641575368256 in words is "six hundred forty-one billion, five hundred seventy-five million, three hundred sixty-eight thousand, two hundred fifty-six".