68827968000 has 1600 divisors, whose sum is σ = 300311421696. Its totient is φ = 15482880000.

The previous prime is 68827967993. The next prime is 68827968029. The reversal of 68827968000 is 86972886.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 969407965 + ... + 969408035.

Almost surely, 2^68827968000 is an apocalyptic number.

68827968000 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 68827968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150155710848).

68827968000 is an abundant number, since it is smaller than the sum of its proper divisors (231483453696).

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

68827968000 is a wasteful number, since it uses less digits than its factorization.

68827968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 68827968000 in words is "sixty-eight billion, eight hundred twenty-seven million, nine hundred sixty-eight thousand".