47586809664 has 224 divisors, whose sum is σ = 145309132800. Its totient is φ = 15260106240.

The previous prime is 47586809663. The next prime is 47586809671. The reversal of 47586809664 is 46690868574.

47586809664 is a `hidden beast` number, since 47 + 586 + 8 + 0 + 9 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47586809663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4786779 + ... + 4796709.

Almost surely, 2^47586809664 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 47586809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72654566400).

47586809664 is an abundant number, since it is smaller than the sum of its proper divisors (97722323136).

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

47586809664 is a wasteful number, since it uses less digits than its factorization.

47586809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 47586809664 in words is "forty-seven billion, five hundred eighty-six million, eight hundred nine thousand, six hundred sixty-four".