67730229946944 has 560 divisors, whose sum is σ = 213360632561600. Its totient is φ = 21069262418688.

The previous prime is 67730229946921. The next prime is 67730229946949. The reversal of 67730229946944 is 44964992203776.

It is a happy number.

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.

67730229946944 is a `hidden beast` number, since 6 + 7 + 7 + 30 + 2 + 2 + 99 + 469 + 44 = 666.

67730229946944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 67730229946944 = 5092³ + 40736³ = 22914³ + 38190³.

It is not an unprimeable number, because it can be changed into a prime (67730229946949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1010898954399 + ... + 1010898954465.

Almost surely, 2^{67730229946944} is an apocalyptic number.

67730229946944 is a gapful number since it is divisible by the number (64) 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 67730229946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680316280800).

67730229946944 is an abundant number, since it is smaller than the sum of its proper divisors (145630402614656).

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

67730229946944 is an frugal number, since it uses more digits than its factorization.

67730229946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 67730229946944 in words is "sixty-seven trillion, seven hundred thirty billion, two hundred twenty-nine million, nine hundred forty-six thousand, nine hundred forty-four".