635765427801 has 81 divisors (see below), whose sum is σ = 1094919894549. Its totient is φ = 354443956272.

The previous prime is 635765427779. The next prime is 635765427827. The reversal of 635765427801 is 108724567536.

The square root of 635765427801 is 797349.

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

635765427801 is a `hidden beast` number, since 63 + 576 + 5 + 4 + 2 + 7 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 635765427801 - 2¹⁵ = 635765395033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (635765427851) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 720005706 + ... + 720006588.

Almost surely, 2^635765427801 is an apocalyptic number.

635765427801 is the 797349-th square number.

635765427801 is the 398675-th centered octagonal number.

It is an amenable number.

635765427801 is a deficient number, since it is larger than the sum of its proper divisors (459154466748).

635765427801 is an frugal number, since it uses more digits than its factorization.

635765427801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 635765427801 in words is "six hundred thirty-five billion, seven hundred sixty-five million, four hundred twenty-seven thousand, eight hundred one".