6853060080 has 400 divisors, whose sum is σ = 24774244704. Its totient is φ = 1754265600.

The previous prime is 6853060057. The next prime is 6853060091. The reversal of 6853060080 is 800603586.

6853060080 is a `hidden beast` number, since 68 + 530 + 60 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24215619 + ... + 24215901.

Almost surely, 2^6853060080 is an apocalyptic number.

6853060080 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 6853060080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387122352).

6853060080 is an abundant number, since it is smaller than the sum of its proper divisors (17921184624).

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

6853060080 is a wasteful number, since it uses less digits than its factorization.

6853060080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6853060080 is about 82783.2113414308. The cubic root of 6853060080 is about 1899.4513725309.

The spelling of 6853060080 in words is "six billion, eight hundred fifty-three million, sixty thousand, eighty".