67000734025 has 9 divisors (see below), whose sum is σ = 83082515061. Its totient is φ = 53599551840.

The previous prime is 67000734011. The next prime is 67000734077. The reversal of 67000734025 is 52043700076.

It is a happy number.

The square root of 67000734025 is 258845.

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 376864569 + 66623869456 = 19413^2 + 258116^2 .

It is a de Polignac number, because none of the positive numbers 2^k-67000734025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1268341 + ... + 1320109.

Almost surely, 2^67000734025 is an apocalyptic number.

67000734025 is the 258845-th square number.

67000734025 is the 129423-rd centered octagonal number.

It is an amenable number.

67000734025 is a deficient number, since it is larger than the sum of its proper divisors (16081781036).

67000734025 is an frugal number, since it uses more digits than its factorization.

67000734025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103548 (or 51774 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

It can be divided in two parts, 67000 and 734025, that added together give a square (801025 = 895²).

The spelling of 67000734025 in words is "sixty-seven billion, seven hundred thirty-four thousand, twenty-five".