6704454240 has 480 divisors, whose sum is σ = 26081637120. Its totient is φ = 1608422400.

The previous prime is 6704454187. The next prime is 6704454241. The reversal of 6704454240 is 424544076.

6704454240 is a `hidden beast` number, since 6 + 70 + 4 + 4 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 6704454195 and 6704454204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6704454241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18675181 + ... + 18675539.

It is an arithmetic number, because the mean of its divisors is an integer number (54336744).

Almost surely, 2^6704454240 is an apocalyptic number.

6704454240 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 6704454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040818560).

6704454240 is an abundant number, since it is smaller than the sum of its proper divisors (19377182880).

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

6704454240 is a wasteful number, since it uses less digits than its factorization.

6704454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 6704454240 is about 81880.7317993678. The cubic root of 6704454240 is about 1885.6213071039.

The spelling of 6704454240 in words is "six billion, seven hundred four million, four hundred fifty-four thousand, two hundred forty".