67937289638464 has 49 divisors (see below), whose sum is σ = 136161189717589. Its totient is φ = 33632321603200.

The previous prime is 67937289638441. The next prime is 67937289638527. The reversal of 67937289638464 is 46483698273976.

The square root of 67937289638464 is 8242408.

The cubic root of 67937289638464 is 40804.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 46403235008064 + 21534054630400 = 6811992^2 + 4640480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 672646432014 + ... + 672646432114.

Almost surely, 2^{67937289638464} is an apocalyptic number.

67937289638464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67937289638464 is the 8242408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67937289638464

67937289638464 is an abundant number, since it is smaller than the sum of its proper divisors (68223900079125).

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

67937289638464 is an frugal number, since it uses more digits than its factorization.

67937289638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 103 counting only the distinct ones).

The product of its digits is 15801827328, while the sum is 82.

The spelling of 67937289638464 in words is "sixty-seven trillion, nine hundred thirty-seven billion, two hundred eighty-nine million, six hundred thirty-eight thousand, four hundred sixty-four".