6608190009600 has 243 divisors, whose sum is σ = 23627976670389. Its totient is φ = 1762019481600.

The previous prime is 6608190009583. The next prime is 6608190009601. The reversal of 6608190009600 is 69000918066.

The square root of 6608190009600 is 2570640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2378948403456 + 4229241606144 = 1542384^2 + 2056512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6608190009601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 616948245 + ... + 616958955.

Almost surely, 2^{6608190009600} is an apocalyptic number.

6608190009600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6608190009600 is the 2570640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6608190009600

6608190009600 is an abundant number, since it is smaller than the sum of its proper divisors (17019786660789).

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

6608190009600 is an frugal number, since it uses more digits than its factorization.

6608190009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21454 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 6608190009600 in words is "six trillion, six hundred eight billion, one hundred ninety million, nine thousand, six hundred".