6253645824 has 312 divisors, whose sum is σ = 19224866752. Its totient is φ = 2030469120.

The previous prime is 6253645819. The next prime is 6253645837. The reversal of 6253645824 is 4285463526.

6253645824 is a `hidden beast` number, since 6 + 2 + 5 + 3 + 64 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6253645824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60714957 + ... + 60715059.

Almost surely, 2^6253645824 is an apocalyptic number.

6253645824 is a gapful number since it is divisible by the number (64) 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 6253645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612433376).

6253645824 is an abundant number, since it is smaller than the sum of its proper divisors (12971220928).

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

6253645824 is an equidigital number, since it uses as much as digits as its factorization.

6253645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 6253645824 is about 79079.9963581183. The cubic root of 6253645824 is about 1842.3738485111.

The spelling of 6253645824 in words is "six billion, two hundred fifty-three million, six hundred forty-five thousand, eight hundred twenty-four".