68227315200 has 960 divisors, whose sum is σ = 277288323840. Its totient is φ = 16293888000.

The previous prime is 68227315199. The next prime is 68227315217. The reversal of 68227315200 is 251372286.

68227315200 is a `hidden beast` number, since 6 + 82 + 27 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498009532 + ... + 498009668.

It is an arithmetic number, because the mean of its divisors is an integer number (288842004).

Almost surely, 2^68227315200 is an apocalyptic number.

68227315200 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 68227315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138644161920).

68227315200 is an abundant number, since it is smaller than the sum of its proper divisors (209061008640).

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

68227315200 is a wasteful number, since it uses less digits than its factorization.

68227315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 68227315200 its reverse (251372286), we get a palindrome (68478687486).

The spelling of 68227315200 in words is "sixty-eight billion, two hundred twenty-seven million, three hundred fifteen thousand, two hundred".