47482734708864 has 1792 divisors, whose sum is σ = 185018954803200. Its totient is φ = 11793681285120.

The previous prime is 47482734708863. The next prime is 47482734708869. The reversal of 47482734708864 is 46880743728474.

47482734708864 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 2 + 73 + 470 + 8 + 86 + 4 = 666.

It is a super-3 number, since 3×47482734708864³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 47482734708792 and 47482734708801.

It is not an unprimeable number, because it can be changed into a prime (47482734708863) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10096262737 + ... + 10096267439.

It is an arithmetic number, because the mean of its divisors is an integer number (103247184600).

Almost surely, 2^{47482734708864} 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 47482734708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92509477401600).

47482734708864 is an abundant number, since it is smaller than the sum of its proper divisors (137536220094336).

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

47482734708864 is a wasteful number, since it uses less digits than its factorization.

47482734708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 1618477056, while the sum is 72.

The spelling of 47482734708864 in words is "forty-seven trillion, four hundred eighty-two billion, seven hundred thirty-four million, seven hundred eight thousand, eight hundred sixty-four".