6779466624 has 128 divisors (see below), whose sum is σ = 20719872000. Its totient is φ = 1923876864.

The previous prime is 6779466613. The next prime is 6779466641. The reversal of 6779466624 is 4266649776.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6779466624² = 91922335411859914752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392049 + ... + 408975.

It is an arithmetic number, because the mean of its divisors is an integer number (161874000).

Almost surely, 2^6779466624 is an apocalyptic number.

6779466624 is a gapful number since it is divisible by the number (64) 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 6779466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359936000).

6779466624 is an abundant number, since it is smaller than the sum of its proper divisors (13940405376).

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

6779466624 is a wasteful number, since it uses less digits than its factorization.

6779466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 17088 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 57.

The square root of 6779466624 is about 82337.5165037178. The cubic root of 6779466624 is about 1892.6276287267.

The spelling of 6779466624 in words is "six billion, seven hundred seventy-nine million, four hundred sixty-six thousand, six hundred twenty-four".