47083964760 has 288 divisors, whose sum is σ = 179416373760. Its totient is φ = 10676800512.

The previous prime is 47083964749. The next prime is 47083964761. The reversal of 47083964760 is 6746938074.

It is a happy number.

47083964760 is a `hidden beast` number, since 4 + 7 + 0 + 83 + 96 + 476 + 0 = 666.

47083964760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47083964697 and 47083964706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47083964761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2229772 + ... + 2250788.

It is an arithmetic number, because the mean of its divisors is an integer number (622973520).

Almost surely, 2^47083964760 is an apocalyptic number.

47083964760 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 47083964760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89708186880).

47083964760 is an abundant number, since it is smaller than the sum of its proper divisors (132332409000).

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

47083964760 is a wasteful number, since it uses less digits than its factorization.

47083964760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21175 (or 21161 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 47083964760 in words is "forty-seven billion, eighty-three million, nine hundred sixty-four thousand, seven hundred sixty".