67673764800 has 252 divisors, whose sum is σ = 250987529520. Its totient is φ = 17261629440.

The previous prime is 67673764799. The next prime is 67673764831. The reversal of 67673764800 is 846737676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 229036 + ... + 433364.

It is an arithmetic number, because the mean of its divisors is an integer number (995982260).

Almost surely, 2^67673764800 is an apocalyptic number.

67673764800 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 67673764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125493764760).

67673764800 is an abundant number, since it is smaller than the sum of its proper divisors (183313764720).

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

67673764800 is a wasteful number, since it uses less digits than its factorization.

67673764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204380 (or 204362 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 67673764800 in words is "sixty-seven billion, six hundred seventy-three million, seven hundred sixty-four thousand, eight hundred".