67757295387648 has 132 divisors (see below), whose sum is σ = 184069718884688. Its totient is φ = 22159615795200.

The previous prime is 67757295387641. The next prime is 67757295387653. The reversal of 67757295387648 is 84678359275776.

It is a happy number.

67757295387648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (67757295387641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4703223 + ... + 12555273.

Almost surely, 2^{67757295387648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67757295387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92034859442344).

67757295387648 is an abundant number, since it is smaller than the sum of its proper divisors (116312423497040).

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

67757295387648 is an equidigital number, since it uses as much as digits as its factorization.

67757295387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852180 (or 7852109 counting only the distinct ones).

The product of its digits is 29872281600, while the sum is 84.

The spelling of 67757295387648 in words is "sixty-seven trillion, seven hundred fifty-seven billion, two hundred ninety-five million, three hundred eighty-seven thousand, six hundred forty-eight".