472745850802272 has 288 divisors, whose sum is σ = 1395161706242304. Its totient is φ = 151683272294400.

The previous prime is 472745850802271. The next prime is 472745850802273. The reversal of 472745850802272 is 272208058547274.

472745850802272 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 58 + 508 + 0 + 2 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (472745850802271) and next prime (472745850802273).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472745850802271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6825930268 + ... + 6825999524.

It is an arithmetic number, because the mean of its divisors is an integer number (4844311480008).

Almost surely, 2^{472745850802272} 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 472745850802272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697580853121152).

472745850802272 is an abundant number, since it is smaller than the sum of its proper divisors (922415855440032).

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

472745850802272 is a wasteful number, since it uses less digits than its factorization.

472745850802272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73382 (or 73371 counting only the distinct ones).

The product of its (nonzero) digits is 140492800, while the sum is 63.

The spelling of 472745850802272 in words is "four hundred seventy-two trillion, seven hundred forty-five billion, eight hundred fifty million, eight hundred two thousand, two hundred seventy-two".