68733619200 has 924 divisors, whose sum is σ = 266336643840. Its totient is φ = 17557585920.

The previous prime is 68733619193. The next prime is 68733619243. The reversal of 68733619200 is 291633786.

68733619200 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 3 + 619 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 541209537 + ... + 541209663.

Almost surely, 2^68733619200 is an apocalyptic number.

68733619200 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 68733619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133168321920).

68733619200 is an abundant number, since it is smaller than the sum of its proper divisors (197603024640).

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

68733619200 is a wasteful number, since it uses less digits than its factorization.

68733619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 68733619200 in words is "sixty-eight billion, seven hundred thirty-three million, six hundred nineteen thousand, two hundred".