472727027746050 has 1152 divisors, whose sum is σ = 1544229067014144. Its totient is φ = 93564979200000.

The previous prime is 472727027746027. The next prime is 472727027746091. The reversal of 472727027746050 is 50647720727274.

It is a super-2 number, since 2×472727027746050² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 168770804650 + ... + 168770807450.

It is an arithmetic number, because the mean of its divisors is an integer number (1340476620672).

Almost surely, 2^{472727027746050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472727027746050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772114533507072).

472727027746050 is an abundant number, since it is smaller than the sum of its proper divisors (1071502039268094).

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

472727027746050 is a wasteful number, since it uses less digits than its factorization.

472727027746050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 64538880, while the sum is 60.

The spelling of 472727027746050 in words is "four hundred seventy-two trillion, seven hundred twenty-seven billion, twenty-seven million, seven hundred forty-six thousand, fifty".