67289812992 has 130 divisors (see below), whose sum is σ = 201015150798. Its totient is φ = 22429827072.

The previous prime is 67289812987. The next prime is 67289813009. The reversal of 67289812992 is 29921898276.

It is a happy number.

67289812992 is a `hidden beast` number, since 67 + 289 + 8 + 1 + 299 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54151151616 + 13138661376 = 232704^2 + 114624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 230368 + ... + 433184.

Almost surely, 2^67289812992 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 67289812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100507575399).

67289812992 is an abundant number, since it is smaller than the sum of its proper divisors (133725337806).

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

67289812992 is an equidigital number, since it uses as much as digits as its factorization.

67289812992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202853 (or 202822 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 67289812992 in words is "sixty-seven billion, two hundred eighty-nine million, eight hundred twelve thousand, nine hundred ninety-two".