6753600000 has 720 divisors, whose sum is σ = 28258566336. Its totient is φ = 1520640000.

The previous prime is 6753599977. The next prime is 6753600019. The reversal of 6753600000 is 63576.

6753600000 is a `hidden beast` number, since 6 + 7 + 53 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6753600000² = 91222225920000000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100799967 + ... + 100800033.

Almost surely, 2^6753600000 is an apocalyptic number.

6753600000 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 6753600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129283168).

6753600000 is an abundant number, since it is smaller than the sum of its proper divisors (21504966336).

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

6753600000 is an frugal number, since it uses more digits than its factorization.

6753600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 6753600000 is about 82180.2896076669. The cubic root of 6753600000 is about 1890.2174940770.

Adding to 6753600000 its reverse (63576), we get a palindrome (6753663576).

The spelling of 6753600000 in words is "six billion, seven hundred fifty-three million, six hundred thousand".