6628304041920 has 1344 divisors, whose sum is σ = 26790859734912. Its totient is φ = 1486356480000.

The previous prime is 6628304041913. The next prime is 6628304041979. The reversal of 6628304041920 is 291404038266.

6628304041920 is a `hidden beast` number, since 6 + 6 + 28 + 30 + 404 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9455497570 + ... + 9455498270.

It is an arithmetic number, because the mean of its divisors is an integer number (19933675398).

Almost surely, 2^{6628304041920} is an apocalyptic number.

6628304041920 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 6628304041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395429867456).

6628304041920 is an abundant number, since it is smaller than the sum of its proper divisors (20162555692992).

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

6628304041920 is a wasteful number, since it uses less digits than its factorization.

6628304041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6628304041920 in words is "six trillion, six hundred twenty-eight billion, three hundred four million, forty-one thousand, nine hundred twenty".