6857660880 has 800 divisors, whose sum is σ = 29311814400. Its totient is φ = 1451188224.

The previous prime is 6857660851. The next prime is 6857660891. The reversal of 6857660880 is 880667586.

6857660880 is a `hidden beast` number, since 6 + 8 + 576 + 60 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62914266 + ... + 62914374.

It is an arithmetic number, because the mean of its divisors is an integer number (36639768).

Almost surely, 2^6857660880 is an apocalyptic number.

6857660880 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 6857660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655907200).

6857660880 is an abundant number, since it is smaller than the sum of its proper divisors (22454153520).

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

6857660880 is a wasteful number, since it uses less digits than its factorization.

6857660880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 6857660880 is about 82810.9949221720. The cubic root of 6857660880 is about 1899.8763428294.

The spelling of 6857660880 in words is "six billion, eight hundred fifty-seven million, six hundred sixty thousand, eight hundred eighty".