6771906720 has 288 divisors, whose sum is σ = 24252177600. Its totient is φ = 1764343296.

The previous prime is 6771906703. The next prime is 6771906733. The reversal of 6771906720 is 276091776.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6771906720³ (a number of 30 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 41545359 + ... + 41545521.

It is an arithmetic number, because the mean of its divisors is an integer number (84208950).

Almost surely, 2^6771906720 is an apocalyptic number.

6771906720 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 6771906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126088800).

6771906720 is an abundant number, since it is smaller than the sum of its proper divisors (17480270880).

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

6771906720 is a wasteful number, since it uses less digits than its factorization.

6771906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 6771906720 is about 82291.5956826698. The cubic root of 6771906720 is about 1891.9238661413.

The spelling of 6771906720 in words is "six billion, seven hundred seventy-one million, nine hundred six thousand, seven hundred twenty".