472745828771424 has 384 divisors, whose sum is σ = 1487030476377600. Its totient is φ = 145252358092800.

The previous prime is 472745828771413. The next prime is 472745828771443. The reversal of 472745828771424 is 424177828547274.

472745828771424 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 58 + 2 + 87 + 71 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28201735267 + ... + 28201752029.

It is an arithmetic number, because the mean of its divisors is an integer number (3872475198900).

Almost surely, 2^{472745828771424} 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 472745828771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743515238188800).

472745828771424 is an abundant number, since it is smaller than the sum of its proper divisors (1014284647606176).

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

472745828771424 is a wasteful number, since it uses less digits than its factorization.

472745828771424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20235 (or 20221 counting only the distinct ones).

The product of its digits is 1573519360, while the sum is 72.

The spelling of 472745828771424 in words is "four hundred seventy-two trillion, seven hundred forty-five billion, eight hundred twenty-eight million, seven hundred seventy-one thousand, four hundred twenty-four".