47964586032 has 480 divisors, whose sum is σ = 158290868736. Its totient is φ = 13412044800.

The previous prime is 47964586001. The next prime is 47964586039. The reversal of 47964586032 is 23068546974.

47964586032 is a `hidden beast` number, since 47 + 96 + 458 + 60 + 3 + 2 = 666.

It is a super-2 number, since 2×47964586032² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47964586032.

It is not an unprimeable number, because it can be changed into a prime (47964586039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243474958 + ... + 243475154.

Almost surely, 2^47964586032 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 47964586032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79145434368).

47964586032 is an abundant number, since it is smaller than the sum of its proper divisors (110326282704).

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

47964586032 is a wasteful number, since it uses less digits than its factorization.

47964586032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 47964586032 in words is "forty-seven billion, nine hundred sixty-four million, five hundred eighty-six thousand, thirty-two".