6534561600 has 756 divisors, whose sum is σ = 28099597344. Its totient is φ = 1493614080.

The previous prime is 6534561587. The next prime is 6534561623. The reversal of 6534561600 is 61654356.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6534561600 is a `hidden beast` number, since 6 + 5 + 3 + 45 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 107 ways as a sum of consecutive naturals, for example, 933508797 + ... + 933508803.

Almost surely, 2^6534561600 is an apocalyptic number.

6534561600 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 6534561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049798672).

6534561600 is an abundant number, since it is smaller than the sum of its proper divisors (21565035744).

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

6534561600 is an frugal number, since it uses more digits than its factorization.

6534561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6534561600 is about 80836.6352590210. The cubic root of 6534561600 is about 1869.5574653208.

The spelling of 6534561600 in words is "six billion, five hundred thirty-four million, five hundred sixty-one thousand, six hundred".