6858754560 has 720 divisors, whose sum is σ = 29001608064. Its totient is φ = 1464680448.

The previous prime is 6858754549. The next prime is 6858754607. The reversal of 6858754560 is 654578586.

6858754560 is a `hidden beast` number, since 6 + 8 + 5 + 8 + 75 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6858754560² = 94085028228641587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6858754497 and 6858754506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159505899 + ... + 159505941.

Almost surely, 2^6858754560 is an apocalyptic number.

6858754560 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 6858754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500804032).

6858754560 is an abundant number, since it is smaller than the sum of its proper divisors (22142853504).

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

6858754560 is a wasteful number, since it uses less digits than its factorization.

6858754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 6858754560 is about 82817.5981298661. The cubic root of 6858754560 is about 1899.9773367565.

The spelling of 6858754560 in words is "six billion, eight hundred fifty-eight million, seven hundred fifty-four thousand, five hundred sixty".