6648869797920 has 480 divisors, whose sum is σ = 28228542249600. Its totient is φ = 1439754891264.

The previous prime is 6648869797883. The next prime is 6648869797951. The reversal of 6648869797920 is 297979688466.

6648869797920 is a `hidden beast` number, since 6 + 6 + 488 + 69 + 7 + 9 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6648869797920.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205005 + ... + 3652364.

It is an arithmetic number, because the mean of its divisors is an integer number (58809463020).

Almost surely, 2^{6648869797920} is an apocalyptic number.

6648869797920 is a gapful number since it is divisible by the number (60) 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 6648869797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114271124800).

6648869797920 is an abundant number, since it is smaller than the sum of its proper divisors (21579672451680).

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

6648869797920 is a wasteful number, since it uses less digits than its factorization.

6648869797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857422 (or 3857405 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 6648869797920 in words is "six trillion, six hundred forty-eight billion, eight hundred sixty-nine million, seven hundred ninety-seven thousand, nine hundred twenty".