6845238400 has 384 divisors, whose sum is σ = 22714796160. Its totient is φ = 1968537600.

The previous prime is 6845238349. The next prime is 6845238419. The reversal of 6845238400 is 48325486.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 3202132 + ... + 3204268.

It is an arithmetic number, because the mean of its divisors is an integer number (59153115).

Almost surely, 2^6845238400 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 6845238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357398080).

6845238400 is an abundant number, since it is smaller than the sum of its proper divisors (15869557760).

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

6845238400 is a wasteful number, since it uses less digits than its factorization.

6845238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 6845238400 is about 82735.9559079364. The cubic root of 6845238400 is about 1898.7284567099.

The spelling of 6845238400 in words is "six billion, eight hundred forty-five million, two hundred thirty-eight thousand, four hundred".