68067584000 has 384 divisors, whose sum is σ = 185559323040. Its totient is φ = 24772608000.

The previous prime is 68067583957. The next prime is 68067584003. The reversal of 68067584000 is 48576086.

It can be written as a sum of positive squares in 16 ways, for example, as 52628030464 + 15439553536 = 229408^2 + 124256^2 .

It is not an unprimeable number, because it can be changed into a prime (68067584003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376063910 + ... + 376064090.

Almost surely, 2^68067584000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68067584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92779661520).

68067584000 is an abundant number, since it is smaller than the sum of its proper divisors (117491739040).

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

68067584000 is a wasteful number, since it uses less digits than its factorization.

68067584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 68067584000 in words is "sixty-eight billion, sixty-seven million, five hundred eighty-four thousand".