6842118400 has 108 divisors (see below), whose sum is σ = 18238250212. Its totient is φ = 2526289920.

The previous prime is 6842118397. The next prime is 6842118421. The reversal of 6842118400 is 48112486.

It can be written as a sum of positive squares in 6 ways, for example, as 2166784 + 6839951616 = 1472^2 + 82704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42082 + ... + 124318.

Almost surely, 2^6842118400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6842118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119125106).

6842118400 is an abundant number, since it is smaller than the sum of its proper divisors (11396131812).

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

6842118400 is a wasteful number, since it uses less digits than its factorization.

6842118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82276 (or 82257 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 6842118400 is about 82717.0985951514. The cubic root of 6842118400 is about 1898.4399382436.

The spelling of 6842118400 in words is "six billion, eight hundred forty-two million, one hundred eighteen thousand, four hundred".