6460262224 has 80 divisors (see below), whose sum is σ = 13678655760. Its totient is φ = 2937876480.

The previous prime is 6460262213. The next prime is 6460262231. The reversal of 6460262224 is 4222620646.

It can be written as a sum of positive squares in 8 ways, for example, as 949872400 + 5510389824 = 30820^2 + 74232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6460262224.

It is a congruent number.

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, 8533654 + ... + 8534410.

It is an arithmetic number, because the mean of its divisors is an integer number (170983197).

Almost surely, 2^6460262224 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 6460262224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839327880).

6460262224 is an abundant number, since it is smaller than the sum of its proper divisors (7218393536).

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

6460262224 is a wasteful number, since it uses less digits than its factorization.

6460262224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 6460262224 is about 80375.7564443409. The cubic root of 6460262224 is about 1862.4446815334. Note that the first 3 decimals are identical.

The spelling of 6460262224 in words is "six billion, four hundred sixty million, two hundred sixty-two thousand, two hundred twenty-four".