47475712327680 has 2880 divisors, whose sum is σ = 215253657036000. Its totient is φ = 10016853590016.

The previous prime is 47475712327679. The next prime is 47475712327717. The reversal of 47475712327680 is 8672321757474.

47475712327680 is a `hidden beast` number, since 4 + 7 + 475 + 7 + 12 + 3 + 2 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×47475712327680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3651977871354 + ... + 3651977871366.

Almost surely, 2^{47475712327680} is an apocalyptic number.

47475712327680 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 47475712327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107626828518000).

47475712327680 is an abundant number, since it is smaller than the sum of its proper divisors (167777944708320).

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

47475712327680 is an frugal number, since it uses more digits than its factorization.

47475712327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 47475712327680 in words is "forty-seven trillion, four hundred seventy-five billion, seven hundred twelve million, three hundred twenty-seven thousand, six hundred eighty".