67881091600 has 135 divisors (see below), whose sum is σ = 189812329191. Its totient is φ = 23261011200.

The previous prime is 67881091583. The next prime is 67881091609. The reversal of 67881091600 is 619018876.

The square root of 67881091600 is 260540.

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 41288614416 + 26592477184 = 203196^2 + 163072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67881091609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36474670 + ... + 36476530.

Almost surely, 2^67881091600 is an apocalyptic number.

67881091600 is the 260540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67881091600

67881091600 is an abundant number, since it is smaller than the sum of its proper divisors (121931237591).

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

67881091600 is an equidigital number, since it uses as much as digits as its factorization.

67881091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 67881091600 in words is "sixty-seven billion, eight hundred eighty-one million, ninety-one thousand, six hundred".