6845904000 has 1024 divisors, whose sum is σ = 28870732800. Its totient is φ = 1581465600.

The previous prime is 6845903971. The next prime is 6845904001. The reversal of 6845904000 is 4095486.

6845904000 is a `hidden beast` number, since 68 + 4 + 590 + 4 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6845904001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129167974 + ... + 129168026.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2^6845904000 is an apocalyptic number.

6845904000 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 6845904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435366400).

6845904000 is an abundant number, since it is smaller than the sum of its proper divisors (22024828800).

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

6845904000 is a wasteful number, since it uses less digits than its factorization.

6845904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6845904000 is about 82739.9782451023. The cubic root of 6845904000 is about 1898.7899959692.

Adding to 6845904000 its reverse (4095486), we get a palindrome (6849999486).

The spelling of 6845904000 in words is "six billion, eight hundred forty-five million, nine hundred four thousand".