6255435600 has 600 divisors, whose sum is σ = 24438545208. Its totient is φ = 1526169600.

The previous prime is 6255435587. The next prime is 6255435629. The reversal of 6255435600 is 65345526.

It is a happy number.

6255435600 is a `hidden beast` number, since 6 + 2 + 5 + 5 + 43 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3515541264 + 2739894336 = 59292^2 + 52344^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22582662 + ... + 22582938.

Almost surely, 2^6255435600 is an apocalyptic number.

6255435600 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 6255435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219272604).

6255435600 is an abundant number, since it is smaller than the sum of its proper divisors (18183109608).

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

6255435600 is a wasteful number, since it uses less digits than its factorization.

6255435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 6255435600 is about 79091.3117858087. The cubic root of 6255435600 is about 1842.5495924994.

The spelling of 6255435600 in words is "six billion, two hundred fifty-five million, four hundred thirty-five thousand, six hundred".