6541469412480 has 384 divisors, whose sum is σ = 22872000294000. Its totient is φ = 1722550714368.

The previous prime is 6541469412473. The next prime is 6541469412493. The reversal of 6541469412480 is 842149641456.

6541469412480 is a `hidden beast` number, since 6 + 5 + 4 + 146 + 9 + 4 + 12 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3417144496704 + 3124324915776 = 1848552^2 + 1767576^2 .

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

It is a super-2 number, since 2×6541469412480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414717874 + ... + 414733646.

Almost surely, 2^{6541469412480} is an apocalyptic number.

6541469412480 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 6541469412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436000147000).

6541469412480 is an abundant number, since it is smaller than the sum of its proper divisors (16330530881520).

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

6541469412480 is a wasteful number, since it uses less digits than its factorization.

6541469412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16696 (or 16681 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6541469412480 in words is "six trillion, five hundred forty-one billion, four hundred sixty-nine million, four hundred twelve thousand, four hundred eighty".