47688839573760 has 1728 divisors, whose sum is σ = 221926435960320. Its totient is φ = 9150340792320.

The previous prime is 47688839573699. The next prime is 47688839573779. The reversal of 47688839573760 is 6737593888674.

47688839573760 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 8 + 8 + 39 + 573 + 7 + 6 + 0 = 666.

47688839573760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47688839573760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 799193206 + ... + 799252874.

It is an arithmetic number, because the mean of its divisors is an integer number (128429650440).

Almost surely, 2^{47688839573760} is an apocalyptic number.

47688839573760 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 47688839573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110963217980160).

47688839573760 is an abundant number, since it is smaller than the sum of its proper divisors (174237596386560).

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

47688839573760 is a wasteful number, since it uses less digits than its factorization.

47688839573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59784 (or 59767 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 81.

The spelling of 47688839573760 in words is "forty-seven trillion, six hundred eighty-eight billion, eight hundred thirty-nine million, five hundred seventy-three thousand, seven hundred sixty".