68456981760 has 576 divisors, whose sum is σ = 246624134400. Its totient is φ = 16080961536.

The previous prime is 68456981759. The next prime is 68456981771. The reversal of 68456981760 is 6718965486.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 68456981694 and 68456981703.

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, 120310756 + ... + 120311324.

It is an arithmetic number, because the mean of its divisors is an integer number (428166900).

Almost surely, 2^68456981760 is an apocalyptic number.

68456981760 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 68456981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123312067200).

68456981760 is an abundant number, since it is smaller than the sum of its proper divisors (178167152640).

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

68456981760 is a wasteful number, since it uses less digits than its factorization.

68456981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 68456981760 in words is "sixty-eight billion, four hundred fifty-six million, nine hundred eighty-one thousand, seven hundred sixty".