32760638001 has 225 divisors, whose sum is σ = 65513823639. Its totient is φ = 16263846144.

The previous prime is 32760637951. The next prime is 32760638011. The reversal of 32760638001 is 10083606723.

It is a happy number.

The square root of 32760638001 is 180999.

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

32760638001 is a `hidden beast` number, since 3 + 276 + 0 + 6 + 380 + 0 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 29906514225 + 2854123776 = 172935^2 + 53424^2 .

It is not a de Polignac number, because 32760638001 - 2⁷ = 32760637873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32760638011) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1927096345 + ... + 1927096361.

Almost surely, 2^32760638001 is an apocalyptic number.

32760638001 is the 180999-th square number.

32760638001 is the 90500-th centered octagonal number.

It is an amenable number.

32760638001 is a deficient number, since it is larger than the sum of its proper divisors (32753185638).

32760638001 is an frugal number, since it uses more digits than its factorization.

32760638001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 32760638001 by its sum of digits (36), we get a square (1179382968036 = 1085994²).

It can be divided in two parts, 32760 and 638001, that added together give a square (670761 = 819²).

The spelling of 32760638001 in words is "thirty-two billion, seven hundred sixty million, six hundred thirty-eight thousand, one".