47931264576 has 168 divisors, whose sum is σ = 149421747384. Its totient is φ = 14601830400.

The previous prime is 47931264523. The next prime is 47931264581. The reversal of 47931264576 is 67546213974.

47931264576 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 1 + 2 + 64 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1430654976 + 46500609600 = 37824^2 + 215640^2 .

It is a super-2 number, since 2×47931264576² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724600 + ... + 787976.

It is an arithmetic number, because the mean of its divisors is an integer number (889415163).

Almost surely, 2^47931264576 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 47931264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74710873692).

47931264576 is an abundant number, since it is smaller than the sum of its proper divisors (101490482808).

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

47931264576 is a wasteful number, since it uses less digits than its factorization.

47931264576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63509 (or 63496 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 47931264576 in words is "forty-seven billion, nine hundred thirty-one million, two hundred sixty-four thousand, five hundred seventy-six".