6406081704 has 240 divisors, whose sum is σ = 19596564000. Its totient is φ = 1889807040.

The previous prime is 6406081699. The next prime is 6406081711. The reversal of 6406081704 is 4071806046.

6406081704 is a `hidden beast` number, since 6 + 40 + 608 + 1 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62194917 + ... + 62195019.

It is an arithmetic number, because the mean of its divisors is an integer number (81652350).

Almost surely, 2^6406081704 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 6406081704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798282000).

6406081704 is an abundant number, since it is smaller than the sum of its proper divisors (13190482296).

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

6406081704 is a wasteful number, since it uses less digits than its factorization.

6406081704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6406081704 is about 80038.0016242285. The cubic root of 6406081704 is about 1857.2234466217.

The spelling of 6406081704 in words is "six billion, four hundred six million, eighty-one thousand, seven hundred four".