4112723664 has 120 divisors (see below), whose sum is σ = 13422801600. Its totient is φ = 1175049792.

The previous prime is 4112723663. The next prime is 4112723669. The reversal of 4112723664 is 4663272114.

4112723664 is a `hidden beast` number, since 411 + 2 + 7 + 236 + 6 + 4 = 666.

4112723664 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112723663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7759 + ... + 91025.

It is an arithmetic number, because the mean of its divisors is an integer number (111856680).

Almost surely, 2^4112723664 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 4112723664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711400800).

4112723664 is an abundant number, since it is smaller than the sum of its proper divisors (9310077936).

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

4112723664 is a wasteful number, since it uses less digits than its factorization.

4112723664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83302 (or 83279 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4112723664 is about 64130.5205342979. The cubic root of 4112723664 is about 1602.1746035149.

Adding to 4112723664 its reverse (4663272114), we get a palindrome (8775995778).

The spelling of 4112723664 in words is "four billion, one hundred twelve million, seven hundred twenty-three thousand, six hundred sixty-four".