6409594398240 has 1008 divisors, whose sum is σ = 25146681009408. Its totient is φ = 1530410112000.

The previous prime is 6409594398223. The next prime is 6409594398241. The reversal of 6409594398240 is 428934959046.

6409594398240 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 594 + 39 + 8 + 2 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6409594398241) 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 167 ways as a sum of consecutive naturals, for example, 6467804145 + ... + 6467805135.

It is an arithmetic number, because the mean of its divisors is an integer number (24947104176).

Almost surely, 2^{6409594398240} is an apocalyptic number.

6409594398240 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 6409594398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573340504704).

6409594398240 is an abundant number, since it is smaller than the sum of its proper divisors (18737086611168).

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

6409594398240 is an equidigital number, since it uses as much as digits as its factorization.

6409594398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 6409594398240 in words is "six trillion, four hundred nine billion, five hundred ninety-four million, three hundred ninety-eight thousand, two hundred forty".