68472016200 has 384 divisors, whose sum is σ = 270782668800. Its totient is φ = 15578645760.

The previous prime is 68472016189. The next prime is 68472016201. The reversal of 68472016200 is 261027486.

68472016200 is a `hidden beast` number, since 6 + 8 + 4 + 7 + 20 + 1 + 620 + 0 = 666.

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 (68472016201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8425339 + ... + 8433461.

It is an arithmetic number, because the mean of its divisors is an integer number (705163200).

Almost surely, 2^68472016200 is an apocalyptic number.

68472016200 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 68472016200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135391334400).

68472016200 is an abundant number, since it is smaller than the sum of its proper divisors (202310652600).

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

68472016200 is a wasteful number, since it uses less digits than its factorization.

68472016200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 68472016200 in words is "sixty-eight billion, four hundred seventy-two million, sixteen thousand, two hundred".