6560198400 has 648 divisors, whose sum is σ = 26582465280. Its totient is φ = 1416683520.

The previous prime is 6560198369. The next prime is 6560198401. The reversal of 6560198400 is 48910656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6560198401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17875017 + ... + 17875383.

Almost surely, 2^6560198400 is an apocalyptic number.

6560198400 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 6560198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291232640).

6560198400 is an abundant number, since it is smaller than the sum of its proper divisors (20022266880).

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

6560198400 is a wasteful number, since it uses less digits than its factorization.

6560198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 6560198400 is about 80995.0517007058. The cubic root of 6560198400 is about 1871.9991964347. Note that the first 3 decimals are identical.

The spelling of 6560198400 in words is "six billion, five hundred sixty million, one hundred ninety-eight thousand, four hundred".