6628065554880 has 2688 divisors, whose sum is σ = 31390342502400. Its totient is φ = 1284928634880.

The previous prime is 6628065554833. The next prime is 6628065554917. The reversal of 6628065554880 is 884555608266.

6628065554880 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 0 + 6 + 5 + 5 + 548 + 80 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10150176634 + ... + 10150177286.

It is an arithmetic number, because the mean of its divisors is an integer number (11677954800).

Almost surely, 2^{6628065554880} is an apocalyptic number.

6628065554880 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 6628065554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695171251200).

6628065554880 is an abundant number, since it is smaller than the sum of its proper divisors (24762276947520).

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

6628065554880 is a wasteful number, since it uses less digits than its factorization.

6628065554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 6628065554880 in words is "six trillion, six hundred twenty-eight billion, sixty-five million, five hundred fifty-four thousand, eight hundred eighty".