6448563264 has 112 divisors (see below), whose sum is σ = 20044745280. Its totient is φ = 1803786240.

The previous prime is 6448563223. The next prime is 6448563281. The reversal of 6448563264 is 4623658446.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 89979 + ... + 144890.

It is an arithmetic number, because the mean of its divisors is an integer number (178970940).

Almost surely, 2^6448563264 is an apocalyptic number.

6448563264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6448563264 is an abundant number, since it is smaller than the sum of its proper divisors (13596182016).

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

6448563264 is a wasteful number, since it uses less digits than its factorization.

6448563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234908 (or 234898 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The square root of 6448563264 is about 80302.9467952453. The cubic root of 6448563264 is about 1861.3197616892.

The spelling of 6448563264 in words is "six billion, four hundred forty-eight million, five hundred sixty-three thousand, two hundred sixty-four".