68008004064 has 576 divisors, whose sum is σ = 264625740288. Its totient is φ = 15994368000.

The previous prime is 68008004063. The next prime is 68008004149. The reversal of 68008004064 is 46040080086.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68008004063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15277039 + ... + 15281489.

It is an arithmetic number, because the mean of its divisors is an integer number (459419688).

Almost surely, 2^68008004064 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 68008004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312870144).

68008004064 is an abundant number, since it is smaller than the sum of its proper divisors (196617736224).

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

68008004064 is a wasteful number, since it uses less digits than its factorization.

68008004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 68008004064 in words is "sixty-eight billion, eight million, four thousand, sixty-four".