68799725568 has 720 divisors, whose sum is σ = 249953176935. Its totient is φ = 18802409472.

The previous prime is 68799725563. The next prime is 68799725573. The reversal of 68799725568 is 86552799786.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

68799725568 is a `hidden beast` number, since 68 + 7 + 9 + 9 + 7 + 2 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (68799725563) and next prime (68799725573).

It can be written as a sum of positive squares in only one way, i.e., 34399862784 + 34399862784 = 185472^2 + 185472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=185472.

It is a super-2 number, since 2×68799725568² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (457228800) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 68799725496 and 68799725505.

It is not an unprimeable number, because it can be changed into a prime (68799725563) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2991292405 + ... + 2991292427.

Almost surely, 2^68799725568 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 68799725568

68799725568 is an abundant number, since it is smaller than the sum of its proper divisors (181153451367).

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

68799725568 is an frugal number, since it uses more digits than its factorization.

68799725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

Multiplying 68799725568 by its sum of digits (72), we get a square (4953580240896 = 2225664²).

68799725568 divided by its sum of digits (72) gives a square (955551744 = 30912²).

The spelling of 68799725568 in words is "sixty-eight billion, seven hundred ninety-nine million, seven hundred twenty-five thousand, five hundred sixty-eight".