4664740359601 has 81 divisors (see below), whose sum is σ = 5784159034017. Its totient is φ = 3750796808640.

The previous prime is 4664740359593. The next prime is 4664740359647. The reversal of 4664740359601 is 1069530474664.

The square root of 4664740359601 is 2159801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23404410225 + 4641335949376 = 152985^2 + 2154376^2 .

It is not a de Polignac number, because 4664740359601 - 2³ = 4664740359593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4664740354601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17341042095 + ... + 17341042363.

Almost surely, 2^{4664740359601} is an apocalyptic number.

4664740359601 is the 2159801-st square number.

4664740359601 is the 1079901-st centered octagonal number.

It is an amenable number.

4664740359601 is a deficient number, since it is larger than the sum of its proper divisors (1119418674416).

4664740359601 is an frugal number, since it uses more digits than its factorization.

4664740359601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 4664740359601 in words is "four trillion, six hundred sixty-four billion, seven hundred forty million, three hundred fifty-nine thousand, six hundred one".