47933601984 has 280 divisors, whose sum is σ = 146481686208. Its totient is φ = 15490621440.

The previous prime is 47933601979. The next prime is 47933602027. The reversal of 47933601984 is 48910633974.

It is a happy number.

47933601984 is a `hidden beast` number, since 4 + 7 + 93 + 360 + 198 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47933601984.

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 39 ways as a sum of consecutive naturals, for example, 27531354 + ... + 27533094.

Almost surely, 2^47933601984 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 47933601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73240843104).

47933601984 is an abundant number, since it is smaller than the sum of its proper divisors (98548084224).

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

47933601984 is a wasteful number, since it uses less digits than its factorization.

47933601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 47933601984 in words is "forty-seven billion, nine hundred thirty-three million, six hundred one thousand, nine hundred eighty-four".