6851865600 has 528 divisors, whose sum is σ = 26316887040. Its totient is φ = 1743667200.

The previous prime is 6851865539. The next prime is 6851865619. The reversal of 6851865600 is 65681586.

6851865600 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 86 + 560 + 0 = 666.

It is a super-3 number, since 3×6851865600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15897385 + ... + 15897815.

Almost surely, 2^6851865600 is an apocalyptic number.

6851865600 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 6851865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158443520).

6851865600 is an abundant number, since it is smaller than the sum of its proper divisors (19465021440).

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

6851865600 is a wasteful number, since it uses less digits than its factorization.

6851865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 6851865600 is about 82775.9965207306. The cubic root of 6851865600 is about 1899.3410087673.

The spelling of 6851865600 in words is "six billion, eight hundred fifty-one million, eight hundred sixty-five thousand, six hundred".