67728261120 has 960 divisors, whose sum is σ = 261590757120. Its totient is φ = 14797504512.

The previous prime is 67728261113. The next prime is 67728261191. The reversal of 67728261120 is 2116282776.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575075819 + ... + 1575075861.

It is an arithmetic number, because the mean of its divisors is an integer number (272490372).

Almost surely, 2^67728261120 is an apocalyptic number.

67728261120 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 67728261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130795378560).

67728261120 is an abundant number, since it is smaller than the sum of its proper divisors (193862496000).

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

67728261120 is a wasteful number, since it uses less digits than its factorization.

67728261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 67728261120 in words is "sixty-seven billion, seven hundred twenty-eight million, two hundred sixty-one thousand, one hundred twenty".