47666403606528 has 648 divisors, whose sum is σ = 160725426537312. Its totient is φ = 13573011013632.

The previous prime is 47666403606527. The next prime is 47666403606611. The reversal of 47666403606528 is 82560630466674.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47666403606527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19479526201 + ... + 19479528647.

It is an arithmetic number, because the mean of its divisors is an integer number (248033065644).

Almost surely, 2^{47666403606528} is an apocalyptic number.

47666403606528 is a gapful number since it is divisible by the number (48) 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 47666403606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80362713268656).

47666403606528 is an abundant number, since it is smaller than the sum of its proper divisors (113059022930784).

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

47666403606528 is an equidigital number, since it uses as much as digits as its factorization.

47666403606528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 47666403606528 in words is "forty-seven trillion, six hundred sixty-six billion, four hundred three million, six hundred six thousand, five hundred twenty-eight".