4293616560 has 320 divisors, whose sum is σ = 14759055360. Its totient is φ = 1027768320.

The previous prime is 4293616559. The next prime is 4293616601. The reversal of 4293616560 is 656163924.

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, 10497636 + ... + 10498044.

It is an arithmetic number, because the mean of its divisors is an integer number (46122048).

Almost surely, 2^4293616560 is an apocalyptic number.

4293616560 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 4293616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379527680).

4293616560 is an abundant number, since it is smaller than the sum of its proper divisors (10465438800).

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

4293616560 is a wasteful number, since it uses less digits than its factorization.

4293616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4293616560 is about 65525.6938917857. The cubic root of 4293616560 is about 1625.3282568421.

The spelling of 4293616560 in words is "four billion, two hundred ninety-three million, six hundred sixteen thousand, five hundred sixty".