68441862113280 has 2304 divisors, whose sum is σ = 269549332416000. Its totient is φ = 15976208793600.

The previous prime is 68441862113269. The next prime is 68441862113293. The reversal of 68441862113280 is 8231126814486.

68441862113280 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 1 + 8 + 621 + 1 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298872760206 + ... + 298872760434.

It is an arithmetic number, because the mean of its divisors is an integer number (116991897750).

Almost surely, 2^{68441862113280} is an apocalyptic number.

68441862113280 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 68441862113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134774666208000).

68441862113280 is an abundant number, since it is smaller than the sum of its proper divisors (201107470302720).

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

68441862113280 is a wasteful number, since it uses less digits than its factorization.

68441862113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 68441862113280 in words is "sixty-eight trillion, four hundred forty-one billion, eight hundred sixty-two million, one hundred thirteen thousand, two hundred eighty".