6406541680 has 160 divisors (see below), whose sum is σ = 18628807680. Its totient is φ = 1990594560.

The previous prime is 6406541639. The next prime is 6406541711. The reversal of 6406541680 is 861456046.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2209992 + ... + 2212888.

It is an arithmetic number, because the mean of its divisors is an integer number (116430048).

Almost surely, 2^6406541680 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 6406541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314403840).

6406541680 is an abundant number, since it is smaller than the sum of its proper divisors (12222266000).

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

6406541680 is a wasteful number, since it uses less digits than its factorization.

6406541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6406541680 is about 80040.8750576854. The cubic root of 6406541680 is about 1857.2678969741.

The spelling of 6406541680 in words is "six billion, four hundred six million, five hundred forty-one thousand, six hundred eighty".