6628117248 has 360 divisors, whose sum is σ = 20807862768. Its totient is φ = 2096160768.

The previous prime is 6628117231. The next prime is 6628117261. The reversal of 6628117248 is 8427118266.

6628117248 is a `hidden beast` number, since 6 + 628 + 1 + 17 + 2 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40663215 + ... + 40663377.

Almost surely, 2^6628117248 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 6628117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403931384).

6628117248 is an abundant number, since it is smaller than the sum of its proper divisors (14179745520).

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

6628117248 is a wasteful number, since it uses less digits than its factorization.

6628117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6628117248 is about 81413.2498307247. The cubic root of 6628117248 is about 1878.4374038582.

The spelling of 6628117248 in words is "six billion, six hundred twenty-eight million, one hundred seventeen thousand, two hundred forty-eight".