6628184640 has 1008 divisors, whose sum is σ = 30235330944. Its totient is φ = 1343692800.

The previous prime is 6628184627. The next prime is 6628184653. The reversal of 6628184640 is 464818266.

6628184640 is a `hidden beast` number, since 6 + 628 + 18 + 4 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6628184627) and next prime (6628184653).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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, 161663020 + ... + 161663060.

It is an arithmetic number, because the mean of its divisors is an integer number (29995368).

Almost surely, 2^6628184640 is an apocalyptic number.

6628184640 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 6628184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117665472).

6628184640 is an abundant number, since it is smaller than the sum of its proper divisors (23607146304).

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

6628184640 is an equidigital number, since it uses as much as digits as its factorization.

6628184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6628184640 is about 81413.6637180762. The cubic root of 6628184640 is about 1878.4437702325.

The spelling of 6628184640 in words is "six billion, six hundred twenty-eight million, one hundred eighty-four thousand, six hundred forty".