6255584000 has 144 divisors (see below), whose sum is σ = 15668976960. Its totient is φ = 2488524800.

The previous prime is 6255583991. The next prime is 6255584017. The reversal of 6255584000 is 4855526.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7455581 + ... + 7456419.

It is an arithmetic number, because the mean of its divisors is an integer number (108812340).

Almost surely, 2^6255584000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6255584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834488480).

6255584000 is an abundant number, since it is smaller than the sum of its proper divisors (9413392960).

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

6255584000 is an equidigital number, since it uses as much as digits as its factorization.

6255584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 6255584000 is about 79092.2499363876. The cubic root of 6255584000 is about 1842.5641628781.

The spelling of 6255584000 in words is "six billion, two hundred fifty-five million, five hundred eighty-four thousand".