6648669468 has 288 divisors, whose sum is σ = 21857472000. Its totient is φ = 1692762624.

The previous prime is 6648669463. The next prime is 6648669493. The reversal of 6648669468 is 8649668466.

6648669468 is a `hidden beast` number, since 6 + 6 + 486 + 6 + 94 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6648669463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3987571 + ... + 3989237.

It is an arithmetic number, because the mean of its divisors is an integer number (75894000).

Almost surely, 2^6648669468 is an apocalyptic number.

6648669468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6648669468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928736000).

6648669468 is an abundant number, since it is smaller than the sum of its proper divisors (15208802532).

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

6648669468 is a wasteful number, since it uses less digits than its factorization.

6648669468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1715 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The square root of 6648669468 is about 81539.3737282793. The cubic root of 6648669468 is about 1880.3769302320.

The spelling of 6648669468 in words is "six billion, six hundred forty-eight million, six hundred sixty-nine thousand, four hundred sixty-eight".