68689717200 has 1200 divisors, whose sum is σ = 287988036336. Its totient is φ = 15527116800.

The previous prime is 68689717141. The next prime is 68689717207. The reversal of 68689717200 is 271798686.

It can be written as a sum of positive squares in 24 ways, for example, as 59698126224 + 8991590976 = 244332^2 + 94824^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68689717207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 379501110 + ... + 379501290.

Almost surely, 2^68689717200 is an apocalyptic number.

68689717200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68689717200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143994018168).

68689717200 is an abundant number, since it is smaller than the sum of its proper divisors (219298319136).

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

68689717200 is a wasteful number, since it uses less digits than its factorization.

68689717200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 68689717200 in words is "sixty-eight billion, six hundred eighty-nine million, seven hundred seventeen thousand, two hundred".