32743264401 has 9 divisors (see below), whose sum is σ = 47296610491. Its totient is φ = 21828481032.

The previous prime is 32743264387. The next prime is 32743264429. The reversal of 32743264401 is 10446234723.

The square root of 32743264401 is 180951.

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

32743264401 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 3 + 2 + 644 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243828225 + 32499436176 = 15615^2 + 180276^2 .

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

It is not a de Polignac number, because 32743264401 - 2⁵ = 32743264369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32743264201) 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, 512695 + ... + 573011.

Almost surely, 2^32743264401 is an apocalyptic number.

32743264401 is the 180951-st square number.

32743264401 is the 90476-th centered octagonal number.

It is an amenable number.

32743264401 is a deficient number, since it is larger than the sum of its proper divisors (14553346090).

32743264401 is an frugal number, since it uses more digits than its factorization.

32743264401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120640 (or 60320 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 32743264401 by its sum of digits (36), we get a square (1178757518436 = 1085706²).

The spelling of 32743264401 in words is "thirty-two billion, seven hundred forty-three million, two hundred sixty-four thousand, four hundred one".