67728195025920 has 1056 divisors, whose sum is σ = 276946128635904. Its totient is φ = 15087668428800.

The previous prime is 67728195025919. The next prime is 67728195025943. The reversal of 67728195025920 is 2952059182776.

67728195025920 is a `hidden beast` number, since 6 + 7 + 7 + 28 + 19 + 5 + 0 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 1469422075 + ... + 1469468165.

Almost surely, 2^{67728195025920} is an apocalyptic number.

67728195025920 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 67728195025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138473064317952).

67728195025920 is an abundant number, since it is smaller than the sum of its proper divisors (209217933609984).

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

67728195025920 is a wasteful number, since it uses less digits than its factorization.

67728195025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46369 (or 46348 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 67728195025920 in words is "sixty-seven trillion, seven hundred twenty-eight billion, one hundred ninety-five million, twenty-five thousand, nine hundred twenty".