67730677918225 has 81 divisors (see below), whose sum is σ = 98924232441393. Its totient is φ = 45868132074240.

The previous prime is 67730677918219. The next prime is 67730677918249. The reversal of 67730677918225 is 52281977603776.

The square root of 67730677918225 is 8229865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4151679279489 + 63578998638736 = 2037567^2 + 7973644^2 .

It is not a de Polignac number, because 67730677918225 - 2¹⁵ = 67730677885457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23907756409 + ... + 23907759241.

Almost surely, 2^{67730677918225} is an apocalyptic number.

67730677918225 is the 8229865-th square number.

67730677918225 is the 4114933-rd centered octagonal number.

It is an amenable number.

67730677918225 is a deficient number, since it is larger than the sum of its proper divisors (31193554523168).

67730677918225 is an frugal number, since it uses more digits than its factorization.

67730677918225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 70.

The spelling of 67730677918225 in words is "sixty-seven trillion, seven hundred thirty billion, six hundred seventy-seven million, nine hundred eighteen thousand, two hundred twenty-five".