6417291664 has 45 divisors (see below), whose sum is σ = 14468519361. Its totient is φ = 2749306560.

The previous prime is 6417291637. The next prime is 6417291701. The reversal of 6417291664 is 4661927146.

The square root of 6417291664 is 80108.

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., 3587051664 + 2830240000 = 59892^2 + 53200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2241594 + ... + 2244454.

Almost surely, 2^6417291664 is an apocalyptic number.

6417291664 is the 80108-th square number.

It is an amenable number.

6417291664 is an abundant number, since it is smaller than the sum of its proper divisors (8051227697).

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

6417291664 is an frugal number, since it uses more digits than its factorization.

6417291664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 2870 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The cubic root of 6417291664 is about 1858.3061296819.

The spelling of 6417291664 in words is "six billion, four hundred seventeen million, two hundred ninety-one thousand, six hundred sixty-four".