6772168270921 has 9 divisors (see below), whose sum is σ = 6859185255783. Its totient is φ = 6686241639480.

The previous prime is 6772168270817. The next prime is 6772168270979. The reversal of 6772168270921 is 1290728612776.

The square root of 6772168270921 is 2602339.

It is a perfect power (a square), and thus also a powerful number.

6772168270921 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6052283899321 + 719884371600 = 2460139^2 + 848460^2 .

It is not a de Polignac number, because 6772168270921 - 2¹⁹ = 6772167746633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6772168270121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 205568311 + ... + 205601251.

It is an arithmetic number, because the mean of its divisors is an integer number (762131695087).

Almost surely, 2^{6772168270921} is an apocalyptic number.

6772168270921 is the 2602339-th square number.

6772168270921 is the 1301170-th centered octagonal number.

It is an amenable number.

6772168270921 is a deficient number, since it is larger than the sum of its proper divisors (87016984862).

6772168270921 is an frugal number, since it uses more digits than its factorization.

6772168270921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66040 (or 33020 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The spelling of 6772168270921 in words is "six trillion, seven hundred seventy-two billion, one hundred sixty-eight million, two hundred seventy thousand, nine hundred twenty-one".