67687388224 has 63 divisors (see below), whose sum is σ = 142757560687. Its totient is φ = 31836237824.

The previous prime is 67687388221. The next prime is 67687388239. The reversal of 67687388224 is 42288378676.

The square root of 67687388224 is 260168.

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 28957148224 + 38730240000 = 170168^2 + 196800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67687388221) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 35381892 + ... + 35383804.

Almost surely, 2^67687388224 is an apocalyptic number.

67687388224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67687388224 is the 260168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67687388224

67687388224 is an abundant number, since it is smaller than the sum of its proper divisors (75070172463).

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

67687388224 is an frugal number, since it uses more digits than its factorization.

67687388224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 1932 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 61.

The spelling of 67687388224 in words is "sixty-seven billion, six hundred eighty-seven million, three hundred eighty-eight thousand, two hundred twenty-four".