68173747200 has 924 divisors, whose sum is σ = 273827361948. Its totient is φ = 16721510400.

The previous prime is 68173747181. The next prime is 68173747211. The reversal of 68173747200 is 274737186.

68173747200 is a `hidden beast` number, since 6 + 8 + 173 + 7 + 472 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4087812096 + 64085935104 = 63936^2 + 253152^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 242611060 + ... + 242611340.

Almost surely, 2^68173747200 is an apocalyptic number.

68173747200 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 68173747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136913680974).

68173747200 is an abundant number, since it is smaller than the sum of its proper divisors (205653614748).

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

68173747200 is a wasteful number, since it uses less digits than its factorization.

68173747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 68173747200 in words is "sixty-eight billion, one hundred seventy-three million, seven hundred forty-seven thousand, two hundred".