4613568960 has 448 divisors, whose sum is σ = 19671450624. Its totient is φ = 884736000.

The previous prime is 4613568959. The next prime is 4613568977. The reversal of 4613568960 is 698653164.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958560 + ... + 963360.

It is an arithmetic number, because the mean of its divisors is an integer number (43909488).

Almost surely, 2^4613568960 is an apocalyptic number.

4613568960 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 4613568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835725312).

4613568960 is an abundant number, since it is smaller than the sum of its proper divisors (15057881664).

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

4613568960 is a wasteful number, since it uses less digits than its factorization.

4613568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 4613568960 is about 67923.2578723960. The cubic root of 4613568960 is about 1664.7371533602.

The spelling of 4613568960 in words is "four billion, six hundred thirteen million, five hundred sixty-eight thousand, nine hundred sixty".