68456691072 has 576 divisors, whose sum is σ = 256177630800. Its totient is φ = 17340825600.

The previous prime is 68456691011. The next prime is 68456691073. The reversal of 68456691072 is 27019665486.

68456691072 is a `hidden beast` number, since 6 + 8 + 4 + 566 + 9 + 1 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68456691073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25456704 + ... + 25459392.

Almost surely, 2^68456691072 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 68456691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128088815400).

68456691072 is an abundant number, since it is smaller than the sum of its proper divisors (187720939728).

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

68456691072 is a wasteful number, since it uses less digits than its factorization.

68456691072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 68456 and 691072, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 68456691072 in words is "sixty-eight billion, four hundred fifty-six million, six hundred ninety-one thousand, seventy-two".