6777953280 has 264 divisors, whose sum is σ = 26841770592. Its totient is φ = 1549172736.

The previous prime is 6777953251. The next prime is 6777953293. The reversal of 6777953280 is 823597776.

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 23 ways as a sum of consecutive naturals, for example, 312054 + ... + 333066.

Almost surely, 2^6777953280 is an apocalyptic number.

6777953280 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 6777953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420885296).

6777953280 is an abundant number, since it is smaller than the sum of its proper divisors (20063817312).

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

6777953280 is a wasteful number, since it uses less digits than its factorization.

6777953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21051 (or 21030 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 6777953280 is about 82328.3261095475. The cubic root of 6777953280 is about 1892.4867912061.

The spelling of 6777953280 in words is "six billion, seven hundred seventy-seven million, nine hundred fifty-three thousand, two hundred eighty".