47865384000 has 448 divisors, whose sum is σ = 200706654720. Its totient is φ = 10940313600.

The previous prime is 47865383987. The next prime is 47865384013. The reversal of 47865384000 is 48356874.

47865384000 is a `hidden beast` number, since 4 + 78 + 6 + 538 + 40 + 0 + 0 = 666.

47865384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47865383987) and next prime (47865384013).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1496172 + ... + 1527828.

Almost surely, 2^47865384000 is an apocalyptic number.

47865384000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47865384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100353327360).

47865384000 is an abundant number, since it is smaller than the sum of its proper divisors (152841270720).

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

47865384000 is a wasteful number, since it uses less digits than its factorization.

47865384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31700 (or 31674 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 47865384000 in words is "forty-seven billion, eight hundred sixty-five million, three hundred eighty-four thousand".