6410000000000 has 242 divisors, whose sum is σ = 16042162757394. Its totient is φ = 2560000000000.

The previous prime is 6409999999999. The next prime is 6410000000003. The reversal of 6410000000000 is 146.

It can be written as a sum of positive squares in 11 ways, for example, as 43784725504 + 6366215274496 = 209248^2 + 2523136^2 .

It is a sliding number, since 6410000000000 = 160000000000 + 6250000000000 and 1/160000000000 + 1/6250000000000 = 0.000000000006410000000000.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6410000000003) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 9999999680 + ... + 10000000320.

Almost surely, 2^{6410000000000} 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 6410000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021081378697).

6410000000000 is an abundant number, since it is smaller than the sum of its proper divisors (9632162757394).

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

6410000000000 is an frugal number, since it uses more digits than its factorization.

6410000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 6410000000000 its reverse (146), we get a palindrome (6410000000146).

The spelling of 6410000000000 in words is "six trillion, four hundred ten billion", and thus it is an aban number.