68361187200 has 384 divisors, whose sum is σ = 231206451840. Its totient is φ = 17746944000.

The previous prime is 68361187129. The next prime is 68361187201. The reversal of 68361187200 is 278116386.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68361187201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62658655 + ... + 62659745.

It is an arithmetic number, because the mean of its divisors is an integer number (602100135).

Almost surely, 2^68361187200 is an apocalyptic number.

68361187200 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 68361187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115603225920).

68361187200 is an abundant number, since it is smaller than the sum of its proper divisors (162845264640).

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

68361187200 is a wasteful number, since it uses less digits than its factorization.

68361187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 68361187200 in words is "sixty-eight billion, three hundred sixty-one million, one hundred eighty-seven thousand, two hundred".