6410000000 has 128 divisors (see below), whose sum is σ = 15987263760. Its totient is φ = 2560000000.

The previous prime is 6409999943. The next prime is 6410000021. The reversal of 6410000000 is 146.

It can be written as a sum of positive squares in 8 ways, for example, as 4811919424 + 1598080576 = 69368^2 + 39976^2 .

It is a sliding number, since 6410000000 = 160000000 + 6250000000 and 1/160000000 + 1/6250000000 = 0.000000006410000000.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999680 + ... + 10000320.

Almost surely, 2^6410000000 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 6410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993631880).

6410000000 is an abundant number, since it is smaller than the sum of its proper divisors (9577263760).

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

6410000000 is an frugal number, since it uses more digits than its factorization.

6410000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 648 counting only the distinct ones).

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

The square root of 6410000000 is about 80062.4756049924. The cubic root of 6410000000 is about 1857.6020279109.

Adding to 6410000000 its reverse (146), we get a palindrome (6410000146).

The spelling of 6410000000 in words is "six billion, four hundred ten million", and thus it is an aban number.