6600916800 has 630 divisors, whose sum is σ = 25544287494. Its totient is φ = 1671321600.

The previous prime is 6600916733. The next prime is 6600916841. The reversal of 6600916800 is 86190066.

It can be written as a sum of positive squares in 3 ways, for example, as 841928256 + 5758988544 = 29016^2 + 75888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 124545574 + ... + 124545626.

Almost surely, 2^6600916800 is an apocalyptic number.

6600916800 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 6600916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772143747).

6600916800 is an abundant number, since it is smaller than the sum of its proper divisors (18943370694).

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

6600916800 is a wasteful number, since it uses less digits than its factorization.

6600916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6600916800 is about 81246.0263643706. The cubic root of 6600916800 is about 1875.8643055260.

The spelling of 6600916800 in words is "six billion, six hundred million, nine hundred sixteen thousand, eight hundred".