68838019200 has 288 divisors, whose sum is σ = 254102904900. Its totient is φ = 17723596800.

The previous prime is 68838019189. The next prime is 68838019207. The reversal of 68838019200 is 291083886.

68838019200 is a `hidden beast` number, since 6 + 88 + 380 + 192 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46273172544 + 22564846656 = 215112^2 + 150216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (68838019207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 793990 + ... + 876410.

Almost surely, 2^68838019200 is an apocalyptic number.

68838019200 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 68838019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127051452450).

68838019200 is an abundant number, since it is smaller than the sum of its proper divisors (185264885700).

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

68838019200 is a wasteful number, since it uses less digits than its factorization.

68838019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82480 (or 82460 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 68838019200 in words is "sixty-eight billion, eight hundred thirty-eight million, nineteen thousand, two hundred".