68584320000 has 1320 divisors, whose sum is σ = 298894260720. Its totient is φ = 15676416000.

The previous prime is 68584319957. The next prime is 68584320019. The reversal of 68584320000 is 2348586.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9797759997 + ... + 9797760003.

It is an arithmetic number, because the mean of its divisors is an integer number (226435046).

Almost surely, 2^68584320000 is an apocalyptic number.

68584320000 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 68584320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149447130360).

68584320000 is an abundant number, since it is smaller than the sum of its proper divisors (230309940720).

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

68584320000 is an frugal number, since it uses more digits than its factorization.

68584320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 68584320000 its reverse (2348586), we get a palindrome (68586668586).

The spelling of 68584320000 in words is "sixty-eight billion, five hundred eighty-four million, three hundred twenty thousand".