4565610720 has 216 divisors, whose sum is σ = 17125938648. Its totient is φ = 1106772480.

The previous prime is 4565610689. The next prime is 4565610773. The reversal of 4565610720 is 270165654.

It is a happy number.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161139 + ... + 187341.

It is an arithmetic number, because the mean of its divisors is an integer number (79286753).

Almost surely, 2^4565610720 is an apocalyptic number.

4565610720 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 4565610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562969324).

4565610720 is an abundant number, since it is smaller than the sum of its proper divisors (12560327928).

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

4565610720 is a wasteful number, since it uses less digits than its factorization.

4565610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26246 (or 26224 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4565610720 is about 67569.3030894947. The cubic root of 4565610720 is about 1658.9487125901.

The spelling of 4565610720 in words is "four billion, five hundred sixty-five million, six hundred ten thousand, seven hundred twenty".