68081248872 has 256 divisors, whose sum is σ = 233597952000. Its totient is φ = 17890585344.

The previous prime is 68081248849. The next prime is 68081248891. The reversal of 68081248872 is 27884218086.

68081248872 is a `hidden beast` number, since 6 + 80 + 8 + 12 + 488 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5556529 + ... + 5568767.

It is an arithmetic number, because the mean of its divisors is an integer number (912492000).

Almost surely, 2^68081248872 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 68081248872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116798976000).

68081248872 is an abundant number, since it is smaller than the sum of its proper divisors (165516703128).

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

68081248872 is a wasteful number, since it uses less digits than its factorization.

68081248872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12557 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 68081248872 in words is "sixty-eight billion, eighty-one million, two hundred forty-eight thousand, eight hundred seventy-two".