168472084200 has 1152 divisors, whose sum is σ = 687467606400. Its totient is φ = 33814609920.

The previous prime is 168472084199. The next prime is 168472084211. The reversal of 168472084200 is 2480274861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1073070522 + ... + 1073070678.

It is an arithmetic number, because the mean of its divisors is an integer number (596760075).

Almost surely, 2^168472084200 is an apocalyptic number.

168472084200 is a gapful number since it is divisible by the number (10) 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 168472084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343733803200).

168472084200 is an abundant number, since it is smaller than the sum of its proper divisors (518995522200).

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

168472084200 is a wasteful number, since it uses less digits than its factorization.

168472084200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 168472084200 in words is "one hundred sixty-eight billion, four hundred seventy-two million, eighty-four thousand, two hundred".