4611306268560 has 80 divisors (see below), whose sum is σ = 14296946186880. Its totient is φ = 1229518510080.

The previous prime is 4611306268549. The next prime is 4611306268561. The reversal of 4611306268560 is 658626031164.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (4611306268561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543240 + ... + 3085080.

It is an arithmetic number, because the mean of its divisors is an integer number (178711827336).

Almost surely, 2^{4611306268560} is an apocalyptic number.

4611306268560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4611306268560 is an abundant number, since it is smaller than the sum of its proper divisors (9685639918320).

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

4611306268560 is a wasteful number, since it uses less digits than its factorization.

4611306268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549416 (or 2549410 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 4611306268560 in words is "four trillion, six hundred eleven billion, three hundred six million, two hundred sixty-eight thousand, five hundred sixty".