8477283906 has 288 divisors, whose sum is σ = 24155651520. Its totient is φ = 2208415104.

The previous prime is 8477283877. The next prime is 8477283907. The reversal of 8477283906 is 6093827748.

8477283906 is a `hidden beast` number, since 8 + 477 + 2 + 83 + 90 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8477283907) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43031800 + ... + 43031996.

It is an arithmetic number, because the mean of its divisors is an integer number (83873790).

Almost surely, 2^8477283906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8477283906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077825760).

8477283906 is an abundant number, since it is smaller than the sum of its proper divisors (15678367614).

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

8477283906 is a wasteful number, since it uses less digits than its factorization.

8477283906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8477283906 is about 92072.1668366722. The cubic root of 8477283906 is about 2039.0079042790.

The spelling of 8477283906 in words is "eight billion, four hundred seventy-seven million, two hundred eighty-three thousand, nine hundred six".