68527087200 has 1728 divisors, whose sum is σ = 311200081920. Its totient is φ = 13934592000.

The previous prime is 68527087183. The next prime is 68527087201. The reversal of 68527087200 is 278072586.

68527087200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68527087201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 606434344 + ... + 606434456.

It is an arithmetic number, because the mean of its divisors is an integer number (180092640).

Almost surely, 2^68527087200 is an apocalyptic number.

68527087200 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 68527087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155600040960).

68527087200 is an abundant number, since it is smaller than the sum of its proper divisors (242672994720).

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

68527087200 is a wasteful number, since it uses less digits than its factorization.

68527087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 68527087200 in words is "sixty-eight billion, five hundred twenty-seven million, eighty-seven thousand, two hundred".