6623284200960 has 320 divisors, whose sum is σ = 24324061588992. Its totient is φ = 1506047164416.

The previous prime is 6623284200937. The next prime is 6623284201003. The reversal of 6623284200960 is 690024823266.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10056507 + ... + 10694853.

Almost surely, 2^{6623284200960} is an apocalyptic number.

6623284200960 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 6623284200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162030794496).

6623284200960 is an abundant number, since it is smaller than the sum of its proper divisors (17700777388032).

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

6623284200960 is a wasteful number, since it uses less digits than its factorization.

6623284200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638573 (or 638557 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 6623284200960 in words is "six trillion, six hundred twenty-three billion, two hundred eighty-four million, two hundred thousand, nine hundred sixty".