4565361600 has 504 divisors, whose sum is σ = 16997824272. Its totient is φ = 1161216000.

The previous prime is 4565361571. The next prime is 4565361637. The reversal of 4565361600 is 61635654.

4565361600 is a `hidden beast` number, since 4 + 565 + 36 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45201550 + ... + 45201650.

Almost surely, 2^4565361600 is an apocalyptic number.

4565361600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4565361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498912136).

4565361600 is an abundant number, since it is smaller than the sum of its proper divisors (12432462672).

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

4565361600 is a wasteful number, since it uses less digits than its factorization.

4565361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4565361600 is about 67567.4596236976. The cubic root of 4565361600 is about 1658.9185388379.

The spelling of 4565361600 in words is "four billion, five hundred sixty-five million, three hundred sixty-one thousand, six hundred".