6532476568641 has 9 divisors (see below), whose sum is σ = 9435810563491. Its totient is φ = 4354979267352.

The previous prime is 6532476568613. The next prime is 6532476568663. The reversal of 6532476568641 is 1468656742356.

The square root of 6532476568641 is 2555871.

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

6532476568641 is a `hidden beast` number, since 6 + 5 + 3 + 2 + 4 + 7 + 6 + 568 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6307607135025 + 224869433616 = 2511495^2 + 474204^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6532476568641 - 2²¹ = 6532474471489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6532476567641) 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, 7241635 + ... + 8093591.

Almost surely, 2^{6532476568641} is an apocalyptic number.

6532476568641 is the 2555871-st square number.

6532476568641 is the 1277936-th centered octagonal number.

It is an amenable number.

6532476568641 is a deficient number, since it is larger than the sum of its proper divisors (2903333994850).

6532476568641 is an frugal number, since it uses more digits than its factorization.

6532476568641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703920 (or 851960 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 6532476568641 in words is "six trillion, five hundred thirty-two billion, four hundred seventy-six million, five hundred sixty-eight thousand, six hundred forty-one".