32772032904629 has 2 divisors, whose sum is σ = 32772032904630. Its totient is φ = 32772032904628.

The previous prime is 32772032904623. The next prime is 32772032904631. The reversal of 32772032904629 is 92640923027723.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30178564224004 + 2593468680625 = 5493502^2 + 1610425^2 .

It is a cyclic number.

It is not a de Polignac number, because 32772032904629 - 2¹⁶ = 32772032839093 is a prime.

It is a super-2 number, since 2×32772032904629² (a number of 28 digits) contains 22 as substring.

Together with 32772032904631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32772032904623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16386016452314 + 16386016452315.

It is an arithmetic number, because the mean of its divisors is an integer number (16386016452315).

Almost surely, 2^{32772032904629} is an apocalyptic number.

It is an amenable number.

32772032904629 is a deficient number, since it is larger than the sum of its proper divisors (1).

32772032904629 is an equidigital number, since it uses as much as digits as its factorization.

32772032904629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13716864, while the sum is 56.

The spelling of 32772032904629 in words is "thirty-two trillion, seven hundred seventy-two billion, thirty-two million, nine hundred four thousand, six hundred twenty-nine".