560776018320 has 1440 divisors, whose sum is σ = 2442520454400. Its totient is φ = 116820652032.

The previous prime is 560776018307. The next prime is 560776018321. The reversal of 560776018320 is 23810677065.

560776018320 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 7 + 601 + 8 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (560776018321) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2024462022 + ... + 2024462298.

It is an arithmetic number, because the mean of its divisors is an integer number (1696194760).

Almost surely, 2^560776018320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560776018320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221260227200).

560776018320 is an abundant number, since it is smaller than the sum of its proper divisors (1881744436080).

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

560776018320 is a wasteful number, since it uses less digits than its factorization.

560776018320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 560776018320 in words is "five hundred sixty billion, seven hundred seventy-six million, eighteen thousand, three hundred twenty".