6560071010640 has 240 divisors, whose sum is σ = 25242910243200. Its totient is φ = 1495589741568.

The previous prime is 6560071010593. The next prime is 6560071010659. The reversal of 6560071010640 is 460101700656.

6560071010640 is a `hidden beast` number, since 6 + 5 + 6 + 0 + 0 + 7 + 1 + 0 + 1 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 6560071010595 and 6560071010604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287551 + ... + 3633569.

It is an arithmetic number, because the mean of its divisors is an integer number (105178792680).

Almost surely, 2^{6560071010640} is an apocalyptic number.

6560071010640 is a gapful number since it is divisible by the number (60) 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 6560071010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621455121600).

6560071010640 is an abundant number, since it is smaller than the sum of its proper divisors (18682839232560).

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

6560071010640 is a wasteful number, since it uses less digits than its factorization.

6560071010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346434 (or 3346425 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 6560071010640 in words is "six trillion, five hundred sixty billion, seventy-one million, ten thousand, six hundred forty".