6541863600 has 240 divisors, whose sum is σ = 21408312320. Its totient is φ = 1707264000.

The previous prime is 6541863583. The next prime is 6541863611. The reversal of 6541863600 is 63681456.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6541863600² = 85591958722009920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14314572 + ... + 14315028.

Almost surely, 2^6541863600 is an apocalyptic number.

6541863600 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 6541863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704156160).

6541863600 is an abundant number, since it is smaller than the sum of its proper divisors (14866448720).

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

6541863600 is a wasteful number, since it uses less digits than its factorization.

6541863600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6541863600 is about 80881.7878140685. The cubic root of 6541863600 is about 1870.2535807184.

The spelling of 6541863600 in words is "six billion, five hundred forty-one million, eight hundred sixty-three thousand, six hundred".