47824578432 has 192 divisors, whose sum is σ = 145907470800. Its totient is φ = 14984036352.

The previous prime is 47824578421. The next prime is 47824578479. The reversal of 47824578432 is 23487542874.

47824578432 is a `hidden beast` number, since 4 + 7 + 8 + 24 + 578 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24067743 + ... + 24069729.

Almost surely, 2^47824578432 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 47824578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72953735400).

47824578432 is an abundant number, since it is smaller than the sum of its proper divisors (98082892368).

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

47824578432 is a wasteful number, since it uses less digits than its factorization.

47824578432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3238 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 47824578432 in words is "forty-seven billion, eight hundred twenty-four million, five hundred seventy-eight thousand, four hundred thirty-two".