6776213760 has 180 divisors, whose sum is σ = 24246902988. Its totient is φ = 1806962688.

The previous prime is 6776213723. The next prime is 6776213837. The reversal of 6776213760 is 673126776.

It can be written as a sum of positive squares in 2 ways, for example, as 4757688576 + 2018525184 = 68976^2 + 44928^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 71002 + ... + 136358.

Almost surely, 2^6776213760 is an apocalyptic number.

6776213760 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 6776213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123451494).

6776213760 is an abundant number, since it is smaller than the sum of its proper divisors (17470689228).

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

6776213760 is an equidigital number, since it uses as much as digits as its factorization.

6776213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65390 (or 65367 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 6776213760 is about 82317.7609024930. The cubic root of 6776213760 is about 1892.3248789909.

The spelling of 6776213760 in words is "six billion, seven hundred seventy-six million, two hundred thirteen thousand, seven hundred sixty".