68004147456 has 1080 divisors, whose sum is σ = 259844530176. Its totient is φ = 17557585920.

The previous prime is 68004147451. The next prime is 68004147457. The reversal of 68004147456 is 65474140086.

68004147456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (68004147451) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 535465665 + ... + 535465791.

Almost surely, 2^68004147456 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 68004147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129922265088).

68004147456 is an abundant number, since it is smaller than the sum of its proper divisors (191840382720).

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

68004147456 is a wasteful number, since it uses less digits than its factorization.

68004147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 68004147456 in words is "sixty-eight billion, four million, one hundred forty-seven thousand, four hundred fifty-six".