47686767128 has 256 divisors, whose sum is σ = 124013030400. Its totient is φ = 16589629440.

The previous prime is 47686767127. The next prime is 47686767137. The reversal of 47686767128 is 82176768674.

It is a happy number.

It is a Cunningham number, because it is equal to 218373²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47686767127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67258838 + ... + 67259546.

It is an arithmetic number, because the mean of its divisors is an integer number (484425900).

Almost surely, 2^47686767128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47686767128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62006515200).

47686767128 is an abundant number, since it is smaller than the sum of its proper divisors (76326263272).

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

47686767128 is a wasteful number, since it uses less digits than its factorization.

47686767128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 62.

The spelling of 47686767128 in words is "forty-seven billion, six hundred eighty-six million, seven hundred sixty-seven thousand, one hundred twenty-eight".