68083234560000 has 3240 divisors, whose sum is σ = 284645764182780. Its totient is φ = 16258682880000.

The previous prime is 68083234559983. The next prime is 68083234560007. The reversal of 68083234560000 is 6543238086.

It is a happy number.

68083234560000 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 3 + 2 + 34 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68083234560007) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1016167679967 + ... + 1016167680033.

Almost surely, 2^{68083234560000} is an apocalyptic number.

68083234560000 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 68083234560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142322882091390).

68083234560000 is an abundant number, since it is smaller than the sum of its proper divisors (216562529622780).

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

68083234560000 is an frugal number, since it uses more digits than its factorization.

68083234560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 68083234560000 its reverse (6543238086), we get a palindrome (68089777798086).

The spelling of 68083234560000 in words is "sixty-eight trillion, eighty-three billion, two hundred thirty-four million, five hundred sixty thousand".