68029795123200 has 720 divisors, whose sum is σ = 263094369216000. Its totient is φ = 17186421473280.

The previous prime is 68029795123153. The next prime is 68029795123211. The reversal of 68029795123200 is 232159792086.

68029795123200 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 97 + 9 + 512 + 32 + 0 + 0 = 666.

68029795123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209962921 + ... + 210286679.

Almost surely, 2^{68029795123200} is an apocalyptic number.

68029795123200 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 68029795123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131547184608000).

68029795123200 is an abundant number, since it is smaller than the sum of its proper divisors (195064574092800).

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

68029795123200 is a wasteful number, since it uses less digits than its factorization.

68029795123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323825 (or 323788 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 68029795123200 in words is "sixty-eight trillion, twenty-nine billion, seven hundred ninety-five million, one hundred twenty-three thousand, two hundred".