6560613410400 has 1080 divisors, whose sum is σ = 27203890417704. Its totient is φ = 1487608012800.

The previous prime is 6560613410371. The next prime is 6560613410441. The reversal of 6560613410400 is 40143160656.

It is a happy number.

6560613410400 is a `hidden beast` number, since 6 + 5 + 606 + 1 + 3 + 4 + 1 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2264621752 + ... + 2264624648.

Almost surely, 2^{6560613410400} is an apocalyptic number.

6560613410400 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 6560613410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601945208852).

6560613410400 is an abundant number, since it is smaller than the sum of its proper divisors (20643277007304).

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

6560613410400 is a wasteful number, since it uses less digits than its factorization.

6560613410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 6560613410400 in words is "six trillion, five hundred sixty billion, six hundred thirteen million, four hundred ten thousand, four hundred".