6804567131648 has 320 divisors, whose sum is σ = 16833047616000. Its totient is φ = 2701638696960.

The previous prime is 6804567131639. The next prime is 6804567131653. The reversal of 6804567131648 is 8461317654086.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1459265765 + ... + 1459270427.

It is an arithmetic number, because the mean of its divisors is an integer number (52603273800).

Almost surely, 2^{6804567131648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6804567131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416523808000).

6804567131648 is an abundant number, since it is smaller than the sum of its proper divisors (10028480484352).

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

6804567131648 is a wasteful number, since it uses less digits than its factorization.

6804567131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 6804567131648 in words is "six trillion, eight hundred four billion, five hundred sixty-seven million, one hundred thirty-one thousand, six hundred forty-eight".