6560279400960 has 480 divisors, whose sum is σ = 23660838609408. Its totient is φ = 1677972602880.

The previous prime is 6560279400931. The next prime is 6560279401043. The reversal of 6560279400960 is 690049720656.

6560279400960 is a `hidden beast` number, since 6 + 560 + 2 + 79 + 4 + 0 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 6560279400897 and 6560279400906.

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, 80668479 + ... + 80749761.

Almost surely, 2^{6560279400960} is an apocalyptic number.

6560279400960 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 6560279400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11830419304704).

6560279400960 is an abundant number, since it is smaller than the sum of its proper divisors (17100559208448).

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

6560279400960 is a wasteful number, since it uses less digits than its factorization.

6560279400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81456 (or 81437 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6560279400960 in words is "six trillion, five hundred sixty billion, two hundred seventy-nine million, four hundred thousand, nine hundred sixty".