47838720384 has 768 divisors, whose sum is σ = 176729280000. Its totient is φ = 12339081216.

The previous prime is 47838720379. The next prime is 47838720407. The reversal of 47838720384 is 48302783874.

It is a self number, because there is not a number n which added to its sum of digits gives 47838720384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344163387 + ... + 344163525.

It is an arithmetic number, because the mean of its divisors is an integer number (230116250).

Almost surely, 2^47838720384 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 47838720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88364640000).

47838720384 is an abundant number, since it is smaller than the sum of its proper divisors (128890559616).

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

47838720384 is a wasteful number, since it uses less digits than its factorization.

47838720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 47838720384 in words is "forty-seven billion, eight hundred thirty-eight million, seven hundred twenty thousand, three hundred eighty-four".