68851663200 has 288 divisors, whose sum is σ = 250210235520. Its totient is φ = 18272217600.

The previous prime is 68851663189. The next prime is 68851663259. The reversal of 68851663200 is 236615886.

68851663200 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 1 + 6 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4550047 + ... + 4565153.

It is an arithmetic number, because the mean of its divisors is an integer number (868785540).

Almost surely, 2^68851663200 is an apocalyptic number.

68851663200 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 68851663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125105117760).

68851663200 is an abundant number, since it is smaller than the sum of its proper divisors (181358572320).

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

68851663200 is a wasteful number, since it uses less digits than its factorization.

68851663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 68851663200 in words is "sixty-eight billion, eight hundred fifty-one million, six hundred sixty-three thousand, two hundred".