6255849600 has 1728 divisors, whose sum is σ = 31490484480. Its totient is φ = 1161216000.

The previous prime is 6255849599. The next prime is 6255849667. The reversal of 6255849600 is 69485526.

6255849600 is a `hidden beast` number, since 6 + 2 + 5 + 584 + 9 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 201801585 + ... + 201801615.

It is an arithmetic number, because the mean of its divisors is an integer number (18223660).

Almost surely, 2^6255849600 is an apocalyptic number.

6255849600 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 6255849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745242240).

6255849600 is an abundant number, since it is smaller than the sum of its proper divisors (25234634880).

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

6255849600 is a wasteful number, since it uses less digits than its factorization.

6255849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6255849600 is about 79093.9289705601. The cubic root of 6255849600 is about 1842.5902397461.

The spelling of 6255849600 in words is "six billion, two hundred fifty-five million, eight hundred forty-nine thousand, six hundred".