67155612736 has 63 divisors (see below), whose sum is σ = 138139283919. Its totient is φ = 32390926848.

The previous prime is 67155612731. The next prime is 67155612739. The reversal of 67155612736 is 63721655176.

The square root of 67155612736 is 259144.

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 18289857600 + 48865755136 = 135240^2 + 221056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67155612736.

It is not an unprimeable number, because it can be changed into a prime (67155612731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60120850 + ... + 60121966.

Almost surely, 2^67155612736 is an apocalyptic number.

67155612736 is the 259144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67155612736

67155612736 is an abundant number, since it is smaller than the sum of its proper divisors (70983671183).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67155612736 is an frugal number, since it uses more digits than its factorization.

67155612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 1148 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 49.

Multiplying 67155612736 by its sum of digits (49), we get a square (3290625024064 = 1814008²).

The spelling of 67155612736 in words is "sixty-seven billion, one hundred fifty-five million, six hundred twelve thousand, seven hundred thirty-six".