6842167200 has 720 divisors, whose sum is σ = 28244129760. Its totient is φ = 1596672000.

The previous prime is 6842167183. The next prime is 6842167217. The reversal of 6842167200 is 27612486.

It is an interprime number because it is at equal distance from previous prime (6842167183) and next prime (6842167217).

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

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 119 ways as a sum of consecutive naturals, for example, 20671035 + ... + 20671365.

It is an arithmetic number, because the mean of its divisors is an integer number (39227958).

Almost surely, 2^6842167200 is an apocalyptic number.

6842167200 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 6842167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14122064880).

6842167200 is an abundant number, since it is smaller than the sum of its proper divisors (21401962560).

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

6842167200 is a wasteful number, since it uses less digits than its factorization.

6842167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6842167200 is about 82717.3935759584. The cubic root of 6842167200 is about 1898.4444516435. Note that the first 4 decimals are identical.

Adding to 6842167200 its reverse (27612486), we get a palindrome (6869779686).

The spelling of 6842167200 in words is "six billion, eight hundred forty-two million, one hundred sixty-seven thousand, two hundred".