6655348800 has 420 divisors, whose sum is σ = 24781131540. Its totient is φ = 1751777280.

The previous prime is 6655348789. The next prime is 6655348837. The reversal of 6655348800 is 88435566.

It can be written as a sum of positive squares in 6 ways, for example, as 12446784 + 6642902016 = 3528^2 + 81504^2 .

It is a super-2 number, since 2×6655348800² = 88587335299322880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11534112 + ... + 11534688.

Almost surely, 2^6655348800 is an apocalyptic number.

6655348800 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 6655348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390565770).

6655348800 is an abundant number, since it is smaller than the sum of its proper divisors (18125782740).

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

6655348800 is a wasteful number, since it uses less digits than its factorization.

6655348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6655348800 is about 81580.3211565142. The cubic root of 6655348800 is about 1881.0064024568.

The spelling of 6655348800 in words is "six billion, six hundred fifty-five million, three hundred forty-eight thousand, eight hundred".