4361506560 has 720 divisors, whose sum is σ = 17095034880. Its totient is φ = 1058365440.

The previous prime is 4361506559. The next prime is 4361506579. The reversal of 4361506560 is 656051634.

4361506560 is a `hidden beast` number, since 43 + 6 + 1 + 50 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 73923811 + ... + 73923869.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 2^4361506560 is an apocalyptic number.

4361506560 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 4361506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

4361506560 is an abundant number, since it is smaller than the sum of its proper divisors (12733528320).

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

4361506560 is a wasteful number, since it uses less digits than its factorization.

4361506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

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

The square root of 4361506560 is about 66041.7031882128. The cubic root of 4361506560 is about 1633.8499782614.

The spelling of 4361506560 in words is "four billion, three hundred sixty-one million, five hundred six thousand, five hundred sixty".