6541377895296 has 48 divisors (see below), whose sum is σ = 18823496290560. Its totient is φ = 2180459298048.

The previous prime is 6541377895291. The next prime is 6541377895307. The reversal of 6541377895296 is 6925987731456.

6541377895296 is a `hidden beast` number, since 6 + 5 + 4 + 13 + 7 + 7 + 89 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541377895291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2839138560 + ... + 2839140863.

It is an arithmetic number, because the mean of its divisors is an integer number (392156172720).

Almost surely, 2^{6541377895296} is an apocalyptic number.

It is an amenable number.

6541377895296 is an abundant number, since it is smaller than the sum of its proper divisors (12282118395264).

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

6541377895296 is a wasteful number, since it uses less digits than its factorization.

6541377895296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678279443 (or 5678279428 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 6541377895296 in words is "six trillion, five hundred forty-one billion, three hundred seventy-seven million, eight hundred ninety-five thousand, two hundred ninety-six".