6556723200 has 864 divisors, whose sum is σ = 26615796480. Its totient is φ = 1592524800.

The previous prime is 6556723189. The next prime is 6556723207. The reversal of 6556723200 is 23276556.

It is a happy number.

6556723200 is a `hidden beast` number, since 6 + 556 + 72 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×6556723200³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6556723207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211507185 + ... + 211507215.

It is an arithmetic number, because the mean of its divisors is an integer number (30805320).

Almost surely, 2^6556723200 is an apocalyptic number.

6556723200 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 6556723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307898240).

6556723200 is an abundant number, since it is smaller than the sum of its proper divisors (20059073280).

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

6556723200 is a wasteful number, since it uses less digits than its factorization.

6556723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 6556723200 is about 80973.5956963750. The cubic root of 6556723200 is about 1871.6685803821.

Adding to 6556723200 its reverse (23276556), we get a palindrome (6579999756).

The spelling of 6556723200 in words is "six billion, five hundred fifty-six million, seven hundred twenty-three thousand, two hundred".