47688644160 has 448 divisors, whose sum is σ = 182821478400. Its totient is φ = 11657779200.

The previous prime is 47688644131. The next prime is 47688644161. The reversal of 47688644160 is 6144688674.

47688644160 is a `hidden beast` number, since 4 + 7 + 68 + 86 + 441 + 60 = 666.

47688644160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 47688644097 and 47688644106.

It is not an unprimeable number, because it can be changed into a prime (47688644161) 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, 5084275 + ... + 5093645.

Almost surely, 2^47688644160 is an apocalyptic number.

47688644160 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 47688644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91410739200).

47688644160 is an abundant number, since it is smaller than the sum of its proper divisors (135132834240).

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

47688644160 is a wasteful number, since it uses less digits than its factorization.

47688644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47688644160 in words is "forty-seven billion, six hundred eighty-eight million, six hundred forty-four thousand, one hundred sixty".