7727347780101 has 24 divisors (see below), whose sum is σ = 11246282849880. Its totient is φ = 5112682039296.

The previous prime is 7727347780073. The next prime is 7727347780111. The reversal of 7727347780101 is 1010877437277.

7727347780101 is a `hidden beast` number, since 77 + 27 + 3 + 477 + 80 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 457713137025 + 7269634643076 = 676545^2 + 2696226^2 .

It is not a de Polignac number, because 7727347780101 - 2⁷ = 7727347779973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7727347780111) 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 23 ways as a sum of consecutive naturals, for example, 5344236 + ... + 6634421.

It is an arithmetic number, because the mean of its divisors is an integer number (468595118745).

Almost surely, 2^{7727347780101} is an apocalyptic number.

It is an amenable number.

7727347780101 is a deficient number, since it is larger than the sum of its proper divisors (3518935069779).

7727347780101 is a wasteful number, since it uses less digits than its factorization.

7727347780101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979205 (or 11979202 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 54.

The spelling of 7727347780101 in words is "seven trillion, seven hundred twenty-seven billion, three hundred forty-seven million, seven hundred eighty thousand, one hundred one".