472084284672 has 1728 divisors, whose sum is σ = 1964092354560. Its totient is φ = 107993088000.

The previous prime is 472084284671. The next prime is 472084284697. The reversal of 472084284672 is 276482480274.

472084284672 is a `hidden beast` number, since 4 + 7 + 208 + 428 + 4 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472084284671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6649074397 + ... + 6649074467.

It is an arithmetic number, because the mean of its divisors is an integer number (1136627520).

Almost surely, 2^472084284672 is an apocalyptic number.

472084284672 is a gapful number since it is divisible by the number (42) 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 472084284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982046177280).

472084284672 is an abundant number, since it is smaller than the sum of its proper divisors (1492008069888).

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

472084284672 is a wasteful number, since it uses less digits than its factorization.

472084284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 472084284672 in words is "four hundred seventy-two billion, eighty-four million, two hundred eighty-four thousand, six hundred seventy-two".