67824826624 has 81 divisors (see below), whose sum is σ = 139117737171. Its totient is φ = 33001943040.

The previous prime is 67824826621. The next prime is 67824826669. The reversal of 67824826624 is 42662842876.

It is a happy number.

The square root of 67824826624 is 260432.

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 9824774400 + 58000052224 = 99120^2 + 240832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67824826621) 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, 170843194 + ... + 170843590.

Almost surely, 2^67824826624 is an apocalyptic number.

67824826624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67824826624 is the 260432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67824826624

67824826624 is an abundant number, since it is smaller than the sum of its proper divisors (71292910547).

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

67824826624 is an frugal number, since it uses more digits than its factorization.

67824826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 440 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 55.

The spelling of 67824826624 in words is "sixty-seven billion, eight hundred twenty-four million, eight hundred twenty-six thousand, six hundred twenty-four".