68536982563200 has 2880 divisors, whose sum is σ = 279208997583120. Its totient is φ = 16541555097600.

The previous prime is 68536982563199. The next prime is 68536982563211. The reversal of 68536982563200 is 236528963586.

68536982563200 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 69 + 8 + 2 + 563 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 242180150259 + ... + 242180150541.

Almost surely, 2^{68536982563200} is an apocalyptic number.

68536982563200 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 68536982563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139604498791560).

68536982563200 is an abundant number, since it is smaller than the sum of its proper divisors (210672015019920).

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

68536982563200 is a wasteful number, since it uses less digits than its factorization.

68536982563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 68536982563200 in words is "sixty-eight trillion, five hundred thirty-six billion, nine hundred eighty-two million, five hundred sixty-three thousand, two hundred".