6545442816 has 480 divisors, whose sum is σ = 22689707040. Its totient is φ = 1857945600.

The previous prime is 6545442809. The next prime is 6545442817. The reversal of 6545442816 is 6182445456.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6545442817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31020951 + ... + 31021161.

It is an arithmetic number, because the mean of its divisors is an integer number (47270223).

Almost surely, 2^6545442816 is an apocalyptic number.

6545442816 is a gapful number since it is divisible by the number (66) 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 6545442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344853520).

6545442816 is an abundant number, since it is smaller than the sum of its proper divisors (16144264224).

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

6545442816 is a wasteful number, since it uses less digits than its factorization.

6545442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 6545442816 is about 80903.9110055874. The cubic root of 6545442816 is about 1870.5946059214.

The spelling of 6545442816 in words is "six billion, five hundred forty-five million, four hundred forty-two thousand, eight hundred sixteen".