560076330240 has 432 divisors, whose sum is σ = 2216546107776. Its totient is φ = 127907020800.

The previous prime is 560076330223. The next prime is 560076330241. The reversal of 560076330240 is 42033670065.

560076330240 is a `hidden beast` number, since 5 + 600 + 7 + 6 + 3 + 3 + 0 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 560076330195 and 560076330204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560076330241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126683230 + ... + 126687650.

It is an arithmetic number, because the mean of its divisors is an integer number (5130893768).

Almost surely, 2^560076330240 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 560076330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108273053888).

560076330240 is an abundant number, since it is smaller than the sum of its proper divisors (1656469777536).

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

560076330240 is a wasteful number, since it uses less digits than its factorization.

560076330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 560076330240 in words is "five hundred sixty billion, seventy-six million, three hundred thirty thousand, two hundred forty".