6648338466 has 192 divisors, whose sum is σ = 18712270080. Its totient is φ = 1712620800.

The previous prime is 6648338441. The next prime is 6648338483.

6648338466 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6265576 + ... + 6266636.

It is an arithmetic number, because the mean of its divisors is an integer number (97459740).

Almost surely, 2^6648338466 is an apocalyptic number.

6648338466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6648338466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356135040).

6648338466 is an abundant number, since it is smaller than the sum of its proper divisors (12063931614).

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

6648338466 is a wasteful number, since it uses less digits than its factorization.

6648338466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1221 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 6648338466 is about 81537.3439964781. The cubic root of 6648338466 is about 1880.3457250484.

The spelling of 6648338466 in words is "six billion, six hundred forty-eight million, three hundred thirty-eight thousand, four hundred sixty-six".