6459497641 has 9 divisors (see below), whose sum is σ = 6510285271. Its totient is φ = 6409105024.

The previous prime is 6459497609. The next prime is 6459497719. The reversal of 6459497641 is 1467949546.

The square root of 6459497641 is 80371.

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., 3947483241 + 2512014400 = 62829^2 + 50120^2 .

It is not a de Polignac number, because 6459497641 - 2⁵ = 6459497609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6459497141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14386185 + ... + 14386633.

Almost surely, 2^6459497641 is an apocalyptic number.

6459497641 is the 80371-st square number.

6459497641 is the 40186-th centered octagonal number.

It is an amenable number.

6459497641 is a deficient number, since it is larger than the sum of its proper divisors (50787630).

6459497641 is an frugal number, since it uses more digits than its factorization.

6459497641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 628 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The cubic root of 6459497641 is about 1862.3712041382.

It can be divided in two parts, 6459 and 497641, that added together give a square (504100 = 710²).

The spelling of 6459497641 in words is "six billion, four hundred fifty-nine million, four hundred ninety-seven thousand, six hundred forty-one".