68012784000 has 1792 divisors, whose sum is σ = 313052688000. Its totient is φ = 14631321600.

The previous prime is 68012783989. The next prime is 68012784019. The reversal of 68012784000 is 48721086.

68012784000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4000751992 + ... + 4000752008.

Almost surely, 2^68012784000 is an apocalyptic number.

68012784000 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 68012784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156526344000).

68012784000 is an abundant number, since it is smaller than the sum of its proper divisors (245039904000).

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

68012784000 is an frugal number, since it uses more digits than its factorization.

68012784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 68012784000 in words is "sixty-eight billion, twelve million, seven hundred eighty-four thousand".