68036966323200 has 3960 divisors, whose sum is σ = 313041097371200. Its totient is φ = 14592304742400.

The previous prime is 68036966323187. The next prime is 68036966323259. The reversal of 68036966323200 is 232366963086.

68036966323200 is a `hidden beast` number, since 6 + 80 + 36 + 9 + 6 + 6 + 323 + 200 = 666.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 205549747035 + ... + 205549747365.

Almost surely, 2^{68036966323200} is an apocalyptic number.

68036966323200 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 68036966323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156520548685600).

68036966323200 is an abundant number, since it is smaller than the sum of its proper divisors (245004131048000).

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

68036966323200 is a wasteful number, since it uses less digits than its factorization.

68036966323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 68036966323200 in words is "sixty-eight trillion, thirty-six billion, nine hundred sixty-six million, three hundred twenty-three thousand, two hundred".