67581281296 has 45 divisors (see below), whose sum is σ = 139130479101. Its totient is φ = 31794637056.

The previous prime is 67581281293. The next prime is 67581281309. The reversal of 67581281296 is 69218218576.

It is a happy number.

The square root of 67581281296 is 259964.

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., 52615184400 + 14966096896 = 229380^2 + 122336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67581281293) 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, 17675641 + ... + 17679463.

Almost surely, 2^67581281296 is an apocalyptic number.

67581281296 is the 259964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67581281296

67581281296 is an abundant number, since it is smaller than the sum of its proper divisors (71549197805).

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

67581281296 is an frugal number, since it uses more digits than its factorization.

67581281296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 3842 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 55.

The spelling of 67581281296 in words is "sixty-seven billion, five hundred eighty-one million, two hundred eighty-one thousand, two hundred ninety-six".