4166727936 has 216 divisors, whose sum is σ = 12979923264. Its totient is φ = 1183150080.

The previous prime is 4166727919. The next prime is 4166727937. The reversal of 4166727936 is 6397276614.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4166727937) 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, 9897006 + ... + 9897426.

Almost surely, 2^4166727936 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 4166727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489961632).

4166727936 is an abundant number, since it is smaller than the sum of its proper divisors (8813195328).

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

4166727936 is a wasteful number, since it uses less digits than its factorization.

4166727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 696 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 4166727936 is about 64550.1970252609. The cubic root of 4166727936 is about 1609.1568616228.

The spelling of 4166727936 in words is "four billion, one hundred sixty-six million, seven hundred twenty-seven thousand, nine hundred thirty-six".