47843712000 has 1056 divisors, whose sum is σ = 209226326400. Its totient is φ = 10262937600.

The previous prime is 47843711941. The next prime is 47843712001. The reversal of 47843712000 is 21734874.

It is a happy number.

47843712000 is a `hidden beast` number, since 4 + 7 + 84 + 371 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47843712001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137087826 + ... + 137088174.

Almost surely, 2^47843712000 is an apocalyptic number.

47843712000 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 47843712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613163200).

47843712000 is an abundant number, since it is smaller than the sum of its proper divisors (161382614400).

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

47843712000 is a wasteful number, since it uses less digits than its factorization.

47843712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 47843712000 in words is "forty-seven billion, eight hundred forty-three million, seven hundred twelve thousand".