20764008788417 has 2 divisors, whose sum is σ = 20764008788418. Its totient is φ = 20764008788416.

The previous prime is 20764008788293. The next prime is 20764008788431. The reversal of 20764008788417 is 71488780046702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14042039947441 + 6721968840976 = 3747271^2 + 2592676^2 .

It is a cyclic number.

It is not a de Polignac number, because 20764008788417 - 2²⁴ = 20763992011201 is a prime.

It is a super-2 number, since 2×20764008788417² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20764008788417.

It is not a weakly prime, because it can be changed into another prime (20764008718417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10382004394208 + 10382004394209.

It is an arithmetic number, because the mean of its divisors is an integer number (10382004394209).

Almost surely, 2^{20764008788417} is an apocalyptic number.

It is an amenable number.

20764008788417 is a deficient number, since it is larger than the sum of its proper divisors (1).

20764008788417 is an equidigital number, since it uses as much as digits as its factorization.

20764008788417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33718272, while the sum is 62.

The spelling of 20764008788417 in words is "twenty trillion, seven hundred sixty-four billion, eight million, seven hundred eighty-eight thousand, four hundred seventeen".