6628290020352 has 3168 divisors, whose sum is σ = 28274523863040. Its totient is φ = 1503024906240.

The previous prime is 6628290020311. The next prime is 6628290020497. The reversal of 6628290020352 is 2530200928266.

6628290020352 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 290 + 0 + 2 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a junction number, because it is equal to n+sod(n) for n = 6628290020298 and 6628290020307.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74475168724 + ... + 74475168812.

Almost surely, 2^{6628290020352} 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 6628290020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137261931520).

6628290020352 is an abundant number, since it is smaller than the sum of its proper divisors (21646233842688).

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

6628290020352 is a wasteful number, since it uses less digits than its factorization.

6628290020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6628290020352 in words is "six trillion, six hundred twenty-eight billion, two hundred ninety million, twenty thousand, three hundred fifty-two".