47638584864 has 768 divisors, whose sum is σ = 163870801920. Its totient is φ = 13353984000.

The previous prime is 47638584863. The next prime is 47638584893. The reversal of 47638584864 is 46848583674.

47638584864 is a `hidden beast` number, since 4 + 76 + 3 + 85 + 8 + 486 + 4 = 666.

47638584864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47638584863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 670965949 + ... + 670966019.

It is an arithmetic number, because the mean of its divisors is an integer number (213373440).

Almost surely, 2^47638584864 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 47638584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81935400960).

47638584864 is an abundant number, since it is smaller than the sum of its proper divisors (116232217056).

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

47638584864 is a wasteful number, since it uses less digits than its factorization.

47638584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 47638584864 in words is "forty-seven billion, six hundred thirty-eight million, five hundred eighty-four thousand, eight hundred sixty-four".