6460263200 has 72 divisors (see below), whose sum is σ = 15875858880. Its totient is φ = 2566944000.

The previous prime is 6460263191. The next prime is 6460263217. The reversal of 6460263200 is 23620646.

It is a super-2 number, since 2×6460263200² = 83470001226548480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94061 + ... + 147539.

It is an arithmetic number, because the mean of its divisors is an integer number (220498040).

Almost surely, 2^6460263200 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 6460263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937929440).

6460263200 is an abundant number, since it is smaller than the sum of its proper divisors (9415595680).

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

6460263200 is a wasteful number, since it uses less digits than its factorization.

6460263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53650 (or 53637 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 6460263200 is about 80375.7625158231. The cubic root of 6460263200 is about 1862.4447753246. Note that the first 3 decimals are identical.

Adding to 6460263200 its reverse (23620646), we get a palindrome (6483883846).

The spelling of 6460263200 in words is "six billion, four hundred sixty million, two hundred sixty-three thousand, two hundred".