4259727360 has 768 divisors, whose sum is σ = 18114969600. Its totient is φ = 928972800.

The previous prime is 4259727337. The next prime is 4259727389. The reversal of 4259727360 is 637279524.

4259727360 is a `hidden beast` number, since 4 + 2 + 597 + 27 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59996125 + ... + 59996195.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^4259727360 is an apocalyptic number.

4259727360 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 4259727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4259727360 is an abundant number, since it is smaller than the sum of its proper divisors (13855242240).

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

4259727360 is a wasteful number, since it uses less digits than its factorization.

4259727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4259727360 is about 65266.5868572886. The cubic root of 4259727360 is about 1621.0407578409.

The spelling of 4259727360 in words is "four billion, two hundred fifty-nine million, seven hundred twenty-seven thousand, three hundred sixty".