67788760292449 has 27 divisors (see below), whose sum is σ = 79068672273171. Its totient is φ = 57948595948320.

The previous prime is 67788760292401. The next prime is 67788760292453. The reversal of 67788760292449 is 94429206788776.

The square root of 67788760292449 is 8233393.

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

It can be written as a sum of positive squares in only one way, i.e., 65327501346849 + 2461258945600 = 8082543^2 + 1568840^2 .

It is not a de Polignac number, because 67788760292449 - 2¹⁹ = 67788759768161 is a prime.

It is a super-2 number, since 2×67788760292449² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67788760292479) 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, 24840145317 + ... + 24840148045.

Almost surely, 2^{67788760292449} is an apocalyptic number.

67788760292449 is the 8233393-rd square number.

67788760292449 is the 4116697-th centered octagonal number.

It is an amenable number.

67788760292449 is a deficient number, since it is larger than the sum of its proper divisors (11279911980722).

67788760292449 is an frugal number, since it uses more digits than its factorization.

67788760292449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 79.

The spelling of 67788760292449 in words is "sixty-seven trillion, seven hundred eighty-eight billion, seven hundred sixty million, two hundred ninety-two thousand, four hundred forty-nine".