68347445760 has 640 divisors, whose sum is σ = 266658289920. Its totient is φ = 16456089600.

The previous prime is 68347445707. The next prime is 68347445773. The reversal of 68347445760 is 6754474386.

68347445760 is a `hidden beast` number, since 68 + 3 + 4 + 7 + 4 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×68347445760³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68347445697 and 68347445706.

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, 183236934 + ... + 183237306.

It is an arithmetic number, because the mean of its divisors is an integer number (416653578).

Almost surely, 2^68347445760 is an apocalyptic number.

68347445760 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 68347445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133329144960).

68347445760 is an abundant number, since it is smaller than the sum of its proper divisors (198310844160).

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

68347445760 is a wasteful number, since it uses less digits than its factorization.

68347445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 68347445760 in words is "sixty-eight billion, three hundred forty-seven million, four hundred forty-five thousand, seven hundred sixty".