68442741678080 has 896 divisors, whose sum is σ = 213356422379520. Its totient is φ = 20457455616000.

The previous prime is 68442741678049. The next prime is 68442741678127. The reversal of 68442741678080 is 8087614724486.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-3 number, since 3×68442741678080³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68442741677998 and 68442741678016.

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 63 ways as a sum of consecutive naturals, for example, 7629327995 + ... + 7629336965.

It is an arithmetic number, because the mean of its divisors is an integer number (238121007120).

Almost surely, 2^{68442741678080} 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 68442741678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106678211189760).

68442741678080 is an abundant number, since it is smaller than the sum of its proper divisors (144913680701440).

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

68442741678080 is a wasteful number, since it uses less digits than its factorization.

68442741678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 65.

The spelling of 68442741678080 in words is "sixty-eight trillion, four hundred forty-two billion, seven hundred forty-one million, six hundred seventy-eight thousand, eighty".