47689705728 has 324 divisors, whose sum is σ = 165870501888. Its totient is φ = 12906915840.

The previous prime is 47689705717. The next prime is 47689705729. The reversal of 47689705728 is 82750798674.

47689705728 is a `hidden beast` number, since 476 + 8 + 97 + 0 + 5 + 72 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47689705729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5818113 + ... + 5826303.

Almost surely, 2^47689705728 is an apocalyptic number.

47689705728 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 47689705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82935250944).

47689705728 is an abundant number, since it is smaller than the sum of its proper divisors (118180796160).

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

47689705728 is a wasteful number, since it uses less digits than its factorization.

47689705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 47689705728 in words is "forty-seven billion, six hundred eighty-nine million, seven hundred five thousand, seven hundred twenty-eight".