68145305760 has 864 divisors, whose sum is σ = 286017443712. Its totient is φ = 14467092480.

The previous prime is 68145305743. The next prime is 68145305771. The reversal of 68145305760 is 6750354186.

68145305760 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 530 + 57 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221971527 + ... + 221971833.

It is an arithmetic number, because the mean of its divisors is an integer number (331038708).

Almost surely, 2^68145305760 is an apocalyptic number.

68145305760 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 68145305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143008721856).

68145305760 is an abundant number, since it is smaller than the sum of its proper divisors (217872137952).

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

68145305760 is a wasteful number, since it uses less digits than its factorization.

68145305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 68145305760 in words is "sixty-eight billion, one hundred forty-five million, three hundred five thousand, seven hundred sixty".