68440512672 has 288 divisors, whose sum is σ = 232484878080. Its totient is φ = 18673459200.

The previous prime is 68440512667. The next prime is 68440512713. The reversal of 68440512672 is 27621504486.

68440512672 is a `hidden beast` number, since 68 + 4 + 4 + 0 + 512 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55687354 + ... + 55688582.

It is an arithmetic number, because the mean of its divisors is an integer number (807239160).

Almost surely, 2^68440512672 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 68440512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242439040).

68440512672 is an abundant number, since it is smaller than the sum of its proper divisors (164044365408).

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

68440512672 is a wasteful number, since it uses less digits than its factorization.

68440512672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2465 counting only the distinct ones).

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

The spelling of 68440512672 in words is "sixty-eight billion, four hundred forty million, five hundred twelve thousand, six hundred seventy-two".