6628820496480 has 2880 divisors, whose sum is σ = 31747280019840. Its totient is φ = 1269497069568.

The previous prime is 6628820496461. The next prime is 6628820496499. The reversal of 6628820496480 is 846940288266.

6628820496480 is a `hidden beast` number, since 6 + 6 + 2 + 88 + 20 + 496 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6628820496461) and next prime (6628820496499).

It is a super-2 number, since 2×6628820496480² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7558517802 + ... + 7558518678.

It is an arithmetic number, because the mean of its divisors is an integer number (11023361118).

Almost surely, 2^{6628820496480} is an apocalyptic number.

6628820496480 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 6628820496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873640009920).

6628820496480 is an abundant number, since it is smaller than the sum of its proper divisors (25118459523360).

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

6628820496480 is a wasteful number, since it uses less digits than its factorization.

6628820496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 6628820496480 in words is "six trillion, six hundred twenty-eight billion, eight hundred twenty million, four hundred ninety-six thousand, four hundred eighty".