4647123936 has 432 divisors, whose sum is σ = 16830528624. Its totient is φ = 1205342208.

The previous prime is 4647123931. The next prime is 4647123947. The reversal of 4647123936 is 6393217464.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4647123891 and 4647123900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4647123931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13392115 + ... + 13392461.

It is an arithmetic number, because the mean of its divisors is an integer number (38959557).

Almost surely, 2^4647123936 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 4647123936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415264312).

4647123936 is an abundant number, since it is smaller than the sum of its proper divisors (12183404688).

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

4647123936 is a wasteful number, since it uses less digits than its factorization.

4647123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 4647123936 is about 68169.8168986832. The cubic root of 4647123936 is about 1668.7633446898.

It can be divided in two parts, 46471 and 23936, that added together give a palindrome (70407).

The spelling of 4647123936 in words is "four billion, six hundred forty-seven million, one hundred twenty-three thousand, nine hundred thirty-six".