6845667480 has 256 divisors, whose sum is σ = 23601830400. Its totient is φ = 1763596800.

The previous prime is 6845667469. The next prime is 6845667487. The reversal of 6845667480 is 847665486.

6845667480 is a `hidden beast` number, since 6 + 8 + 4 + 566 + 74 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6845667487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6512955 + ... + 6514005.

It is an arithmetic number, because the mean of its divisors is an integer number (92194650).

Almost surely, 2^6845667480 is an apocalyptic number.

6845667480 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 6845667480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800915200).

6845667480 is an abundant number, since it is smaller than the sum of its proper divisors (16756162920).

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

6845667480 is a wasteful number, since it uses less digits than its factorization.

6845667480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 6845667480 is about 82738.5489357893. The cubic root of 6845667480 is about 1898.7681285390.

The spelling of 6845667480 in words is "six billion, eight hundred forty-five million, six hundred sixty-seven thousand, four hundred eighty".