472173504768 has 720 divisors, whose sum is σ = 1737282919680. Its totient is φ = 124565962752.

The previous prime is 472173504689. The next prime is 472173504779. The reversal of 472173504768 is 867405371274.

472173504768 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 73 + 504 + 7 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96813946 + ... + 96818822.

It is an arithmetic number, because the mean of its divisors is an integer number (2412892944).

Almost surely, 2^472173504768 is an apocalyptic number.

472173504768 is a gapful number since it is divisible by the number (48) 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 472173504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868641459840).

472173504768 is an abundant number, since it is smaller than the sum of its proper divisors (1265109414912).

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

472173504768 is a wasteful number, since it uses less digits than its factorization.

472173504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 472173504768 in words is "four hundred seventy-two billion, one hundred seventy-three million, five hundred four thousand, seven hundred sixty-eight".