6546777408 has 336 divisors, whose sum is σ = 21301862400. Its totient is φ = 1911444480.

The previous prime is 6546777397. The next prime is 6546777409. The reversal of 6546777408 is 8047776456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546777409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7802653 + ... + 7803491.

It is an arithmetic number, because the mean of its divisors is an integer number (63398400).

Almost surely, 2^6546777408 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 6546777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650931200).

6546777408 is an abundant number, since it is smaller than the sum of its proper divisors (14755084992).

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

6546777408 is a wasteful number, since it uses less digits than its factorization.

6546777408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 6546777408 is about 80912.1585918952. The cubic root of 6546777408 is about 1870.7217330953.

The spelling of 6546777408 in words is "six billion, five hundred forty-six million, seven hundred seventy-seven thousand, four hundred eight".