6255554400 has 288 divisors, whose sum is σ = 22948531200. Its totient is φ = 1644249600.

The previous prime is 6255554399. The next prime is 6255554489. The reversal of 6255554400 is 44555526.

6255554400 is a `hidden beast` number, since 62 + 5 + 5 + 554 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531561 + ... + 1535639.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^6255554400 is an apocalyptic number.

6255554400 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 6255554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

6255554400 is an abundant number, since it is smaller than the sum of its proper divisors (16692976800).

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

6255554400 is a wasteful number, since it uses less digits than its factorization.

6255554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 6255554400 is about 79092.0628129018. The cubic root of 6255554400 is about 1842.5612566754.

The spelling of 6255554400 in words is "six billion, two hundred fifty-five million, five hundred fifty-four thousand, four hundred".