6541234560 has 384 divisors, whose sum is σ = 26310173760. Its totient is φ = 1466449920.

The previous prime is 6541234537. The next prime is 6541234573. The reversal of 6541234560 is 654321456.

6541234560 is a `hidden beast` number, since 6 + 54 + 12 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135430 + ... + 2138490.

Almost surely, 2^6541234560 is an apocalyptic number.

6541234560 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 6541234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155086880).

6541234560 is an abundant number, since it is smaller than the sum of its proper divisors (19768939200).

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

6541234560 is a wasteful number, since it uses less digits than its factorization.

6541234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6541234560 is about 80877.8990825058. The cubic root of 6541234560 is about 1870.1936333755.

The spelling of 6541234560 in words is "six billion, five hundred forty-one million, two hundred thirty-four thousand, five hundred sixty".