6608728812900 has 288 divisors, whose sum is σ = 20521566535680. Its totient is φ = 1636128000000.

The previous prime is 6608728812809. The next prime is 6608728812911. The reversal of 6608728812900 is 92188278066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463730775 + ... + 463745025.

It is an arithmetic number, because the mean of its divisors is an integer number (71255439360).

Almost surely, 2^{6608728812900} is an apocalyptic number.

6608728812900 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 6608728812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260783267840).

6608728812900 is an abundant number, since it is smaller than the sum of its proper divisors (13912837722780).

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

6608728812900 is a wasteful number, since it uses less digits than its factorization.

6608728812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 6608728812900 in words is "six trillion, six hundred eight billion, seven hundred twenty-eight million, eight hundred twelve thousand, nine hundred".