6855770460 has 288 divisors, whose sum is σ = 24247351296. Its totient is φ = 1416729600.

The previous prime is 6855770443. The next prime is 6855770461. The reversal of 6855770460 is 640775586.

It is a super-2 number, since 2×6855770460² = 94003177200417223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6855770461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15906445 + ... + 15906875.

It is an arithmetic number, because the mean of its divisors is an integer number (84192192).

Almost surely, 2^6855770460 is an apocalyptic number.

6855770460 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 6855770460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123675648).

6855770460 is an abundant number, since it is smaller than the sum of its proper divisors (17391580836).

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

6855770460 is a wasteful number, since it uses less digits than its factorization.

6855770460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 6855770460 is about 82799.5800713989. The cubic root of 6855770460 is about 1899.7017500456.

The spelling of 6855770460 in words is "six billion, eight hundred fifty-five million, seven hundred seventy thousand, four hundred sixty".