4537564416 has 216 divisors, whose sum is σ = 16311806784. Its totient is φ = 1178542080.

The previous prime is 4537564411. The next prime is 4537564513. The reversal of 4537564416 is 6144657354.

4537564416 is a `hidden beast` number, since 45 + 3 + 7 + 564 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4537564411) 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, 164620 + ... + 190196.

It is an arithmetic number, because the mean of its divisors is an integer number (75517624).

Almost surely, 2^4537564416 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 4537564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155903392).

4537564416 is an abundant number, since it is smaller than the sum of its proper divisors (11774242368).

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

4537564416 is a wasteful number, since it uses less digits than its factorization.

4537564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25617 (or 25600 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 4537564416 is about 67361.4460652382. The cubic root of 4537564416 is about 1655.5447884136.

The spelling of 4537564416 in words is "four billion, five hundred thirty-seven million, five hundred sixty-four thousand, four hundred sixteen".