6775951680 has 84 divisors (see below), whose sum is σ = 23306460372. Its totient is φ = 1806919680.

The previous prime is 6775951661. The next prime is 6775951691. The reversal of 6775951680 is 861595776.

6775951680 is a `hidden beast` number, since 6 + 77 + 59 + 516 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 736796736 + 6039154944 = 27144^2 + 77712^2 .

It is a super-3 number, since 3×6775951680³ (a number of 30 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 1173501 + ... + 1179260.

Almost surely, 2^6775951680 is an apocalyptic number.

6775951680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6775951680 is an abundant number, since it is smaller than the sum of its proper divisors (16530508692).

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

6775951680 is a wasteful number, since it uses less digits than its factorization.

6775951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352784 (or 2352771 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 6775951680 is about 82316.1690070669. The cubic root of 6775951680 is about 1892.3004825302.

The spelling of 6775951680 in words is "six billion, seven hundred seventy-five million, nine hundred fifty-one thousand, six hundred eighty".