68628174912 has 224 divisors, whose sum is σ = 220344796800. Its totient is φ = 20772864000.

The previous prime is 68628174911. The next prime is 68628174913. The reversal of 68628174912 is 21947182686.

It is a happy number.

68628174912 is a `hidden beast` number, since 6 + 8 + 628 + 1 + 7 + 4 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (68628174911) and next prime (68628174913).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (68628174911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24499912 + ... + 24502712.

Almost surely, 2^68628174912 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 68628174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110172398400).

68628174912 is an abundant number, since it is smaller than the sum of its proper divisors (151716621888).

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

68628174912 is a wasteful number, since it uses less digits than its factorization.

68628174912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4106 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 68628174912 in words is "sixty-eight billion, six hundred twenty-eight million, one hundred seventy-four thousand, nine hundred twelve".