6409703664000 has 5120 divisors, whose sum is σ = 32604680908800. Its totient is φ = 1208726323200.

The previous prime is 6409703663981. The next prime is 6409703664011. The reversal of 6409703664000 is 4663079046.

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 polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 46112975931 + ... + 46112976069.

It is an arithmetic number, because the mean of its divisors is an integer number (6368101740).

Almost surely, 2^{6409703664000} is an apocalyptic number.

6409703664000 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 6409703664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16302340454400).

6409703664000 is an abundant number, since it is smaller than the sum of its proper divisors (26194977244800).

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

6409703664000 is a wasteful number, since it uses less digits than its factorization.

6409703664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 6409703664000 in words is "six trillion, four hundred nine billion, seven hundred three million, six hundred sixty-four thousand".