6409681965408 has 192 divisors, whose sum is σ = 17613285580800. Its totient is φ = 2038534318080.

The previous prime is 6409681965403. The next prime is 6409681965413. The reversal of 6409681965408 is 8045691869046.

It is an interprime number because it is at equal distance from previous prime (6409681965403) and next prime (6409681965413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6409681965403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166669510 + ... + 166707962.

It is an arithmetic number, because the mean of its divisors is an integer number (91735862400).

Almost surely, 2^{6409681965408} 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 6409681965408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806642790400).

6409681965408 is an abundant number, since it is smaller than the sum of its proper divisors (11203603615392).

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

6409681965408 is a wasteful number, since it uses less digits than its factorization.

6409681965408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39285 (or 39277 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 6409681965408 in words is "six trillion, four hundred nine billion, six hundred eighty-one million, nine hundred sixty-five thousand, four hundred eight".