47066905630080 has 512 divisors, whose sum is σ = 190641270528000. Its totient is φ = 10750675083264.

The previous prime is 47066905630007. The next prime is 47066905630093. The reversal of 47066905630080 is 8003650966074.

47066905630080 is a `hidden beast` number, since 4 + 70 + 6 + 6 + 9 + 0 + 563 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47066905629999 and 47066905630026.

It is a congruent number.

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, 174894666 + ... + 175163574.

It is an arithmetic number, because the mean of its divisors is an integer number (372346231500).

Almost surely, 2^{47066905630080} is an apocalyptic number.

47066905630080 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 47066905630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95320635264000).

47066905630080 is an abundant number, since it is smaller than the sum of its proper divisors (143574364897920).

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

47066905630080 is a wasteful number, since it uses less digits than its factorization.

47066905630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270391 (or 270373 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 47066905630080 in words is "forty-seven trillion, sixty-six billion, nine hundred five million, six hundred thirty thousand, eighty".