4569820416 has 360 divisors, whose sum is σ = 16402527680. Its totient is φ = 1236197376.

The previous prime is 4569820393. The next prime is 4569820441. The reversal of 4569820416 is 6140289654.

4569820416 is a `hidden beast` number, since 4 + 569 + 82 + 0 + 4 + 1 + 6 = 666.

It is a super-4 number, since 4×4569820416⁴ (a number of 40 digits) contains 4444 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2757060 + ... + 2758716.

Almost surely, 2^4569820416 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 4569820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201263840).

4569820416 is an abundant number, since it is smaller than the sum of its proper divisors (11832707264).

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

4569820416 is a wasteful number, since it uses less digits than its factorization.

4569820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4569820416 is about 67600.4468624284. The cubic root of 4569820416 is about 1659.4584307760.

The spelling of 4569820416 in words is "four billion, five hundred sixty-nine million, eight hundred twenty thousand, four hundred sixteen".