6254385984 has 336 divisors, whose sum is σ = 22633228800. Its totient is φ = 1603998720.

The previous prime is 6254385961. The next prime is 6254385989. The reversal of 6254385984 is 4895834526.

6254385984 is a `hidden beast` number, since 6 + 2 + 5 + 43 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 6254385984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6254385989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3680367 + ... + 3682065.

It is an arithmetic number, because the mean of its divisors is an integer number (67360800).

Almost surely, 2^6254385984 is an apocalyptic number.

6254385984 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 6254385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316614400).

6254385984 is an abundant number, since it is smaller than the sum of its proper divisors (16378842816).

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

6254385984 is a wasteful number, since it uses less digits than its factorization.

6254385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1805 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 6254385984 is about 79084.6760377761. The cubic root of 6254385984 is about 1842.4465313200.

The spelling of 6254385984 in words is "six billion, two hundred fifty-four million, three hundred eighty-five thousand, nine hundred eighty-four".