47967888384 has 264 divisors, whose sum is σ = 152645805312. Its totient is φ = 14414561280.

The previous prime is 47967888373. The next prime is 47967888391. The reversal of 47967888384 is 48388876974.

47967888384 is a `hidden beast` number, since 479 + 6 + 78 + 8 + 8 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5147089 + ... + 5156399.

It is an arithmetic number, because the mean of its divisors is an integer number (578203808).

Almost surely, 2^47967888384 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 47967888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76322902656).

47967888384 is an abundant number, since it is smaller than the sum of its proper divisors (104677916928).

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

47967888384 is a wasteful number, since it uses less digits than its factorization.

47967888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9372 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 47967888384 in words is "forty-seven billion, nine hundred sixty-seven million, eight hundred eighty-eight thousand, three hundred eighty-four".