6201561600 has 720 divisors, whose sum is σ = 24726245544. Its totient is φ = 1474560000.

The previous prime is 6201561581. The next prime is 6201561617. The reversal of 6201561600 is 61651026.

It is a happy number.

6201561600 is a `hidden beast` number, since 6 + 2 + 0 + 1 + 56 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27373824 + 6174187776 = 5232^2 + 78576^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61401550 + ... + 61401650.

Almost surely, 2^6201561600 is an apocalyptic number.

6201561600 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 6201561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363122772).

6201561600 is an abundant number, since it is smaller than the sum of its proper divisors (18524683944).

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

6201561600 is a wasteful number, since it uses less digits than its factorization.

6201561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6201561600 is about 78749.9942857141. The cubic root of 6201561600 is about 1837.2447736584.

The spelling of 6201561600 in words is "six billion, two hundred one million, five hundred sixty-one thousand, six hundred".