6777444101 has 16 divisors (see below), whose sum is σ = 7141626240. Its totient is φ = 6422431680.

The previous prime is 6777444083. The next prime is 6777444103. The reversal of 6777444101 is 1014447776.

It is a cyclic number.

It is not a de Polignac number, because 6777444101 - 2¹⁰ = 6777443077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777444103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857570 + ... + 865436.

It is an arithmetic number, because the mean of its divisors is an integer number (446351640).

Almost surely, 2^6777444101 is an apocalyptic number.

6777444101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6777444101 is a deficient number, since it is larger than the sum of its proper divisors (364182139).

6777444101 is a wasteful number, since it uses less digits than its factorization.

6777444101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444.

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 6777444101 is about 82325.2336832396. The cubic root of 6777444101 is about 1892.4394003678.

The spelling of 6777444101 in words is "six billion, seven hundred seventy-seven million, four hundred forty-four thousand, one hundred one".