68329256889600 has 2916 divisors, whose sum is σ = 305324173627200. Its totient is φ = 14493787176960.

The previous prime is 68329256889539. The next prime is 68329256889749. The reversal of 68329256889600 is 698865292386.

68329256889600 is a `hidden beast` number, since 6 + 8 + 3 + 2 + 9 + 2 + 5 + 6 + 8 + 8 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 323 ways as a sum of consecutive naturals, for example, 538025644737 + ... + 538025644863.

Almost surely, 2^{68329256889600} is an apocalyptic number.

68329256889600 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 68329256889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152662086813600).

68329256889600 is an abundant number, since it is smaller than the sum of its proper divisors (236994916737600).

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

68329256889600 is a wasteful number, since it uses less digits than its factorization.

68329256889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 68329256889600 in words is "sixty-eight trillion, three hundred twenty-nine billion, two hundred fifty-six million, eight hundred eighty-nine thousand, six hundred".