47476384459200 has 840 divisors, whose sum is σ = 194501870838000. Its totient is φ = 11288492605440.

The previous prime is 47476384459193. The next prime is 47476384459213. The reversal of 47476384459200 is 295448367474.

47476384459200 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 6 + 38 + 4 + 4 + 592 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41293726 + ... + 42427874.

Almost surely, 2^{47476384459200} is an apocalyptic number.

47476384459200 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 47476384459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97250935419000).

47476384459200 is an abundant number, since it is smaller than the sum of its proper divisors (147025486378800).

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

47476384459200 is a wasteful number, since it uses less digits than its factorization.

47476384459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134219 (or 1134195 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 47476384459200 in words is "forty-seven trillion, four hundred seventy-six billion, three hundred eighty-four million, four hundred fifty-nine thousand, two hundred".