67284153728000 has 704 divisors, whose sum is σ = 192037119131520. Its totient is φ = 23298637824000.

The previous prime is 67284153727957. The next prime is 67284153728003. The reversal of 67284153728000 is 82735148276.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67284153728003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2980724714 + ... + 2980747286.

Almost surely, 2^{67284153728000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67284153728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96018559565760).

67284153728000 is an abundant number, since it is smaller than the sum of its proper divisors (124752965403520).

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

67284153728000 is a wasteful number, since it uses less digits than its factorization.

67284153728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721 (or 22693 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 67284153728000 in words is "sixty-seven trillion, two hundred eighty-four billion, one hundred fifty-three million, seven hundred twenty-eight thousand".