47775068352 has 448 divisors, whose sum is σ = 159588403200. Its totient is φ = 13888143360.

The previous prime is 47775068323. The next prime is 47775068357. The reversal of 47775068352 is 25386057774.

It is a happy number.

47775068352 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 506 + 83 + 52 = 666.

47775068352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (47775068357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47348424 + ... + 47349432.

Almost surely, 2^47775068352 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 47775068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794201600).

47775068352 is an abundant number, since it is smaller than the sum of its proper divisors (111813334848).

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

47775068352 is a wasteful number, since it uses less digits than its factorization.

47775068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 47775068352 in words is "forty-seven billion, seven hundred seventy-five million, sixty-eight thousand, three hundred fifty-two".