6628632848640 has 864 divisors, whose sum is σ = 26214760930176. Its totient is φ = 1590295265280.

The previous prime is 6628632848639. The next prime is 6628632848657. The reversal of 6628632848640 is 468482368266.

6628632848640 is a `hidden beast` number, since 6 + 6 + 2 + 86 + 32 + 8 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6628632848640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331869694 + ... + 331889666.

It is an arithmetic number, because the mean of its divisors is an integer number (30341158484).

Almost surely, 2^{6628632848640} is an apocalyptic number.

6628632848640 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 6628632848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107380465088).

6628632848640 is an abundant number, since it is smaller than the sum of its proper divisors (19586128081536).

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

6628632848640 is a wasteful number, since it uses less digits than its factorization.

6628632848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20117 (or 20091 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 6628632848640 in words is "six trillion, six hundred twenty-eight billion, six hundred thirty-two million, eight hundred forty-eight thousand, six hundred forty".