6409841670000 has 600 divisors, whose sum is σ = 24240005165376. Its totient is φ = 1574498304000.

The previous prime is 6409841669989. The next prime is 6409841670053. The reversal of 6409841670000 is 761489046.

6409841670000 is a `hidden beast` number, since 6 + 409 + 84 + 167 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71865432 + ... + 71954568.

Almost surely, 2^{6409841670000} is an apocalyptic number.

6409841670000 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 6409841670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120002582688).

6409841670000 is an abundant number, since it is smaller than the sum of its proper divisors (17830163495376).

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

6409841670000 is a wasteful number, since it uses less digits than its factorization.

6409841670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89235 (or 89211 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6409841670000 in words is "six trillion, four hundred nine billion, eight hundred forty-one million, six hundred seventy thousand".