68483823408000 has 8192 divisors, whose sum is σ = 361333260288000. Its totient is φ = 12290310144000.

The previous prime is 68483823407959. The next prime is 68483823408001. The reversal of 68483823408000 is 80432838486.

68483823408000 is a `hidden beast` number, since 6 + 8 + 483 + 82 + 3 + 4 + 0 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68483823408001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 539242703937 + ... + 539242704063.

It is an arithmetic number, because the mean of its divisors is an integer number (44108064000).

Almost surely, 2^{68483823408000} is an apocalyptic number.

68483823408000 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 68483823408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180666630144000).

68483823408000 is an abundant number, since it is smaller than the sum of its proper divisors (292849436880000).

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

68483823408000 is a wasteful number, since it uses less digits than its factorization.

68483823408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 68483823408000 in words is "sixty-eight trillion, four hundred eighty-three billion, eight hundred twenty-three million, four hundred eight thousand".