6628635648 has 264 divisors, whose sum is σ = 21029928192. Its totient is φ = 2078244864.

The previous prime is 6628635623. The next prime is 6628635677. The reversal of 6628635648 is 8465368266.

It is a happy number.

6628635648 is a `hidden beast` number, since 6 + 6 + 286 + 356 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6628635594 and 6628635603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229361 + ... + 4230927.

Almost surely, 2^6628635648 is an apocalyptic number.

6628635648 is a gapful number since it is divisible by the number (68) 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 6628635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514964096).

6628635648 is an abundant number, since it is smaller than the sum of its proper divisors (14401292544).

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

6628635648 is a wasteful number, since it uses less digits than its factorization.

6628635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1589 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 6628635648 is about 81416.4335254253. The cubic root of 6628635648 is about 1878.4863748570.

The spelling of 6628635648 in words is "six billion, six hundred twenty-eight million, six hundred thirty-five thousand, six hundred forty-eight".