6832990772001 has 27 divisors (see below), whose sum is σ = 10084884922801. Its totient is φ = 4458164838504.

The previous prime is 6832990771993. The next prime is 6832990772009. The reversal of 6832990772001 is 1002770992386.

The square root of 6832990772001 is 2613999.

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

6832990772001 is a `hidden beast` number, since 6 + 83 + 299 + 0 + 77 + 200 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (6832990771993) and next prime (6832990772009).

It is not a de Polignac number, because 6832990772001 - 2³ = 6832990771993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6832990772009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 368564590 + ... + 368583128.

Almost surely, 2^{6832990772001} is an apocalyptic number.

6832990772001 is the 2613999-th square number.

6832990772001 is the 1307000-th centered octagonal number.

It is an amenable number.

6832990772001 is a deficient number, since it is larger than the sum of its proper divisors (3251894150800).

6832990772001 is an frugal number, since it uses more digits than its factorization.

6832990772001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37178 (or 18589 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 6832990772001 in words is "six trillion, eight hundred thirty-two billion, nine hundred ninety million, seven hundred seventy-two thousand, one".