6551344800 has 1440 divisors, whose sum is σ = 32395676544. Its totient is φ = 1244160000.

The previous prime is 6551344763. The next prime is 6551344819. The reversal of 6551344800 is 84431556.

It is a happy number.

6551344800 is a `hidden beast` number, since 65 + 513 + 4 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864750 + ... + 64864850.

Almost surely, 2^6551344800 is an apocalyptic number.

6551344800 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 6551344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16197838272).

6551344800 is an abundant number, since it is smaller than the sum of its proper divisors (25844331744).

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

6551344800 is a wasteful number, since it uses less digits than its factorization.

6551344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6551344800 is about 80940.3780569377. The cubic root of 6551344800 is about 1871.1566714229.

The spelling of 6551344800 in words is "six billion, five hundred fifty-one million, three hundred forty-four thousand, eight hundred".