6864212160 has 420 divisors, whose sum is σ = 26456810688. Its totient is φ = 1688573952.

The previous prime is 6864212129. The next prime is 6864212183. The reversal of 6864212160 is 612124686.

6864212160 is a `hidden beast` number, since 6 + 8 + 642 + 1 + 2 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4379697 + ... + 4381263.

Almost surely, 2^6864212160 is an apocalyptic number.

6864212160 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 6864212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228405344).

6864212160 is an abundant number, since it is smaller than the sum of its proper divisors (19592598528).

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

6864212160 is a wasteful number, since it uses less digits than its factorization.

6864212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6864212160 is about 82850.5410966036. The cubic root of 6864212160 is about 1900.4811486903.

It can be divided in two parts, 6864 and 212160, that added together give a square (219024 = 468²).

The spelling of 6864212160 in words is "six billion, eight hundred sixty-four million, two hundred twelve thousand, one hundred sixty".