6628102822656 has 432 divisors, whose sum is σ = 22810961510400. Its totient is φ = 1892878460928.

The previous prime is 6628102822637. The next prime is 6628102822657. The reversal of 6628102822656 is 6562282018266.

6628102822656 is a `hidden beast` number, since 6 + 628 + 1 + 0 + 2 + 8 + 2 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (6628102822657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294801665 + ... + 1294806783.

Almost surely, 2^{6628102822656} 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 6628102822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405480755200).

6628102822656 is an abundant number, since it is smaller than the sum of its proper divisors (16182858687744).

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

6628102822656 is a wasteful number, since it uses less digits than its factorization.

6628102822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6628102822656 in words is "six trillion, six hundred twenty-eight billion, one hundred two million, eight hundred twenty-two thousand, six hundred fifty-six".