67421129932800 has 1944 divisors, whose sum is σ = 291739780164105. Its totient is φ = 15410543984640.

The previous prime is 67421129932789. The next prime is 67421129932823. The reversal of 67421129932800 is 823992112476.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (9!)² ⋅ (2!)⁹.

67421129932800 is a `hidden beast` number, since 6 + 7 + 4 + 21 + 1 + 299 + 328 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66072707334144 + 1348422598656 = 8128512^2 + 1161216^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5806080.

It is a super-2 number, since 2×67421129932800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9631589990397 + ... + 9631589990403.

Almost surely, 2^{67421129932800} is an apocalyptic number.

67421129932800 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 67421129932800

67421129932800 is an abundant number, since it is smaller than the sum of its proper divisors (224318650231305).

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

67421129932800 is an frugal number, since it uses more digits than its factorization.

67421129932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 67421129932800 in words is "sixty-seven trillion, four hundred twenty-one billion, one hundred twenty-nine million, nine hundred thirty-two thousand, eight hundred".