4186722816 has 160 divisors (see below), whose sum is σ = 12549345600. Its totient is φ = 1395201024.

The previous prime is 4186722811. The next prime is 4186722833. The reversal of 4186722816 is 6182276814.

4186722816 is a `hidden beast` number, since 418 + 6 + 7 + 228 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4186722811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117875 + ... + 1121613.

It is an arithmetic number, because the mean of its divisors is an integer number (78433410).

Almost surely, 2^4186722816 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 4186722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274672800).

4186722816 is an abundant number, since it is smaller than the sum of its proper divisors (8362622784).

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

4186722816 is an frugal number, since it uses more digits than its factorization.

4186722816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3744 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 4186722816 is about 64704.8902015914. The cubic root of 4186722816 is about 1611.7267093714.

The spelling of 4186722816 in words is "four billion, one hundred eighty-six million, seven hundred twenty-two thousand, eight hundred sixteen".