4169566464 has 288 divisors, whose sum is σ = 13261602816. Its totient is φ = 1137991680.

The previous prime is 4169566441. The next prime is 4169566469. The reversal of 4169566464 is 4646659614.

4169566464 = 372² + 373² + ... + 2324².

It is not an unprimeable number, because it can be changed into a prime (4169566469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21165214 + ... + 21165410.

It is an arithmetic number, because the mean of its divisors is an integer number (46047232).

Almost surely, 2^4169566464 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 4169566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630801408).

4169566464 is an abundant number, since it is smaller than the sum of its proper divisors (9092036352).

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

4169566464 is a wasteful number, since it uses less digits than its factorization.

4169566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 4169566464 is about 64572.1802636399. The cubic root of 4169566464 is about 1609.5221842498.

The spelling of 4169566464 in words is "four billion, one hundred sixty-nine million, five hundred sixty-six thousand, four hundred sixty-four".