67126319820 has 288 divisors, whose sum is σ = 240084569088. Its totient is φ = 14860371456.

The previous prime is 67126319791. The next prime is 67126319831. The reversal of 67126319820 is 2891362176.

67126319820 is a `hidden beast` number, since 6 + 7 + 1 + 2 + 631 + 9 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 10579569 + ... + 10585911.

It is an arithmetic number, because the mean of its divisors is an integer number (833626976).

Almost surely, 2^67126319820 is an apocalyptic number.

67126319820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67126319820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042284544).

67126319820 is an abundant number, since it is smaller than the sum of its proper divisors (172958249268).

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

67126319820 is a wasteful number, since it uses less digits than its factorization.

67126319820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 67126319820 in words is "sixty-seven billion, one hundred twenty-six million, three hundred nineteen thousand, eight hundred twenty".