6779148480 has 336 divisors, whose sum is σ = 26590715424. Its totient is φ = 1570406400.

The previous prime is 6779148469. The next prime is 6779148499. The reversal of 6779148480 is 848419776.

It is a happy number.

6779148480 is a `hidden beast` number, since 6 + 77 + 91 + 4 + 8 + 480 = 666.

It is a super-2 number, since 2×6779148480² = 91913708227772620800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631155 + ... + 641805.

It is an arithmetic number, because the mean of its divisors is an integer number (79139034).

Almost surely, 2^6779148480 is an apocalyptic number.

6779148480 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 6779148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295357712).

6779148480 is an abundant number, since it is smaller than the sum of its proper divisors (19811566944).

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

6779148480 is a wasteful number, since it uses less digits than its factorization.

6779148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 6779148480 is about 82335.5845306269. The cubic root of 6779148480 is about 1892.5980227819.

The spelling of 6779148480 in words is "six billion, seven hundred seventy-nine million, one hundred forty-eight thousand, four hundred eighty".