6720663600 has 540 divisors, whose sum is σ = 28028295360. Its totient is φ = 1485388800.

The previous prime is 6720663581. The next prime is 6720663617. The reversal of 6720663600 is 63660276.

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

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 107 ways as a sum of consecutive naturals, for example, 5467786 + ... + 5469014.

Almost surely, 2^6720663600 is an apocalyptic number.

6720663600 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 6720663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014147680).

6720663600 is an abundant number, since it is smaller than the sum of its proper divisors (21307631760).

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

6720663600 is a wasteful number, since it uses less digits than its factorization.

6720663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6720663600 is about 81979.6535733105. The cubic root of 6720663600 is about 1887.1397063861.

The spelling of 6720663600 in words is "six billion, seven hundred twenty million, six hundred sixty-three thousand, six hundred".