4315066560 has 224 divisors, whose sum is σ = 17397496320. Its totient is φ = 986287104.

The previous prime is 4315066559. The next prime is 4315066589. The reversal of 4315066560 is 656605134.

4315066560 is a `hidden beast` number, since 4 + 31 + 5 + 0 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24807 + ... + 96153.

Almost surely, 2^4315066560 is an apocalyptic number.

4315066560 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 4315066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698748160).

4315066560 is an abundant number, since it is smaller than the sum of its proper divisors (13082429760).

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

4315066560 is a wasteful number, since it uses less digits than its factorization.

4315066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71380 (or 71364 counting only the distinct ones).

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

The square root of 4315066560 is about 65689.1662300565. The cubic root of 4315066560 is about 1628.0303608204.

The spelling of 4315066560 in words is "four billion, three hundred fifteen million, sixty-six thousand, five hundred sixty".