47424633984 has 1152 divisors, whose sum is σ = 188690860800. Its totient is φ = 11133517824.

The previous prime is 47424633953. The next prime is 47424633989. The reversal of 47424633984 is 48933642474.

47424633984 is a `hidden beast` number, since 4 + 7 + 4 + 246 + 3 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47424633984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47424633989) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 532861012 + ... + 532861100.

It is an arithmetic number, because the mean of its divisors is an integer number (163794150).

Almost surely, 2^47424633984 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 47424633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94345430400).

47424633984 is an abundant number, since it is smaller than the sum of its proper divisors (141266226816).

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

47424633984 is a wasteful number, since it uses less digits than its factorization.

47424633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 47424633984 in words is "forty-seven billion, four hundred twenty-four million, six hundred thirty-three thousand, nine hundred eighty-four".