6628412915712 has 512 divisors, whose sum is σ = 22543285036800. Its totient is φ = 1885549363200.

The previous prime is 6628412915701. The next prime is 6628412915731. The reversal of 6628412915712 is 2175192148266.

6628412915712 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 41 + 29 + 1 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492547412 + ... + 1492551852.

Almost surely, 2^{6628412915712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6628412915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271642518400).

6628412915712 is an abundant number, since it is smaller than the sum of its proper divisors (15914872121088).

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

6628412915712 is an equidigital number, since it uses as much as digits as its factorization.

6628412915712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4694 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 6628412915712 in words is "six trillion, six hundred twenty-eight billion, four hundred twelve million, nine hundred fifteen thousand, seven hundred twelve".