6459205759380 has 864 divisors, whose sum is σ = 22746327851520. Its totient is φ = 1537184563200.

The previous prime is 6459205759351. The next prime is 6459205759403. The reversal of 6459205759380 is 839575029546.

6459205759380 is a `hidden beast` number, since 6 + 4 + 5 + 9 + 20 + 575 + 9 + 38 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11939381910 + ... + 11939382450.

Almost surely, 2^{6459205759380} is an apocalyptic number.

6459205759380 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 6459205759380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11373163925760).

6459205759380 is an abundant number, since it is smaller than the sum of its proper divisors (16287122092140).

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

6459205759380 is a wasteful number, since it uses less digits than its factorization.

6459205759380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 6459205759380 in words is "six trillion, four hundred fifty-nine billion, two hundred five million, seven hundred fifty-nine thousand, three hundred eighty".