472816627304672 has 192 divisors, whose sum is σ = 1081523371622400. Its totient is φ = 199283639869440.

The previous prime is 472816627304641. The next prime is 472816627304687. The reversal of 472816627304672 is 276403726618274.

It is a junction number, because it is equal to n+sod(n) for n = 472816627304599 and 472816627304608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10096208297 + ... + 10096255127.

It is an arithmetic number, because the mean of its divisors is an integer number (5632934227200).

Almost surely, 2^{472816627304672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472816627304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540761685811200).

472816627304672 is an abundant number, since it is smaller than the sum of its proper divisors (608706744317728).

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

472816627304672 is a wasteful number, since it uses less digits than its factorization.

472816627304672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48689 (or 48681 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 65.

The spelling of 472816627304672 in words is "four hundred seventy-two trillion, eight hundred sixteen billion, six hundred twenty-seven million, three hundred four thousand, six hundred seventy-two".