67681144336 has 45 divisors (see below), whose sum is σ = 142023628749. Its totient is φ = 31231207488.

The previous prime is 67681144283. The next prime is 67681144337. The reversal of 67681144336 is 63344118676.

The square root of 67681144336 is 260156.

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., 10012003600 + 57669140736 = 100060^2 + 240144^2 .

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 67681144336.

It is not an unprimeable number, because it can be changed into a prime (67681144337) 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, 13525611 + ... + 13530613.

Almost surely, 2^67681144336 is an apocalyptic number.

67681144336 is the 260156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67681144336

67681144336 is an abundant number, since it is smaller than the sum of its proper divisors (74342484413).

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

67681144336 is an frugal number, since it uses more digits than its factorization.

67681144336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10040 (or 5018 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

Multiplying 67681144336 by its sum of digits (49), we get a square (3316376072464 = 1821092²).

The spelling of 67681144336 in words is "sixty-seven billion, six hundred eighty-one million, one hundred forty-four thousand, three hundred thirty-six".