68288400000 has 384 divisors, whose sum is σ = 251955748800. Its totient is φ = 18207360000.

The previous prime is 68288399989. The next prime is 68288400001. The reversal of 68288400000 is 488286.

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

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

It is not an unprimeable number, because it can be changed into a prime (68288400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10796839 + ... + 10803161.

Almost surely, 2^68288400000 is an apocalyptic number.

68288400000 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 68288400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125977874400).

68288400000 is an abundant number, since it is smaller than the sum of its proper divisors (183667348800).

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

68288400000 is an frugal number, since it uses more digits than its factorization.

68288400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 68288400000 its reverse (488286), we get a palindrome (68288888286).

The spelling of 68288400000 in words is "sixty-eight billion, two hundred eighty-eight million, four hundred thousand".