6852705977 has 16 divisors (see below), whose sum is σ = 7441728000. Its totient is φ = 6272636544.

The previous prime is 6852705971. The next prime is 6852706031. The reversal of 6852705977 is 7795072586.

6852705977 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 6852705977 - 2⁶ = 6852705913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6852705971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2038424 + ... + 2041782.

It is an arithmetic number, because the mean of its divisors is an integer number (465108000).

Almost surely, 2^6852705977 is an apocalyptic number.

It is an amenable number.

6852705977 is a deficient number, since it is larger than the sum of its proper divisors (589022023).

6852705977 is a wasteful number, since it uses less digits than its factorization.

6852705977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640.

The product of its (nonzero) digits is 7408800, while the sum is 56.

The square root of 6852705977 is about 82781.0725770088. The cubic root of 6852705977 is about 1899.4186565857.

The spelling of 6852705977 in words is "six billion, eight hundred fifty-two million, seven hundred five thousand, nine hundred seventy-seven".