6628073760 has 864 divisors, whose sum is σ = 29739685248. Its totient is φ = 1305722880.

The previous prime is 6628073741. The next prime is 6628073779. The reversal of 6628073760 is 673708266.

It is an interprime number because it is at equal distance from previous prime (6628073741) and next prime (6628073779).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58655464 + ... + 58655576.

It is an arithmetic number, because the mean of its divisors is an integer number (34420932).

Almost surely, 2^6628073760 is an apocalyptic number.

6628073760 is a gapful number since it is divisible by the number (60) 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 6628073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869842624).

6628073760 is an abundant number, since it is smaller than the sum of its proper divisors (23111611488).

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

6628073760 is a wasteful number, since it uses less digits than its factorization.

6628073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6628073760 is about 81412.9827484536. The cubic root of 6628073760 is about 1878.4332956195.

The spelling of 6628073760 in words is "six billion, six hundred twenty-eight million, seventy-three thousand, seven hundred sixty".