6655412400 has 480 divisors, whose sum is σ = 26709957120. Its totient is φ = 1379082240.

The previous prime is 6655412377. The next prime is 6655412431. The reversal of 6655412400 is 42145566.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6442284 + ... + 6443316.

It is an arithmetic number, because the mean of its divisors is an integer number (55645744).

Almost surely, 2^6655412400 is an apocalyptic number.

6655412400 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 6655412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354978560).

6655412400 is an abundant number, since it is smaller than the sum of its proper divisors (20054544720).

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

6655412400 is a wasteful number, since it uses less digits than its factorization.

6655412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 6655412400 is about 81580.7109554704. The cubic root of 6655412400 is about 1881.0123942102.

Adding to 6655412400 its reverse (42145566), we get a palindrome (6697557966).

The spelling of 6655412400 in words is "six billion, six hundred fifty-five million, four hundred twelve thousand, four hundred".