6257442384 has 120 divisors (see below), whose sum is σ = 17924924160. Its totient is φ = 2036853504.

The previous prime is 6257442379. The next prime is 6257442407. The reversal of 6257442384 is 4832447526.

It is a happy number.

6257442384 is a `hidden beast` number, since 6 + 2 + 574 + 42 + 38 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4378182 + ... + 4379610.

It is an arithmetic number, because the mean of its divisors is an integer number (149374368).

Almost surely, 2^6257442384 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 6257442384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962462080).

6257442384 is an abundant number, since it is smaller than the sum of its proper divisors (11667481776).

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

6257442384 is a wasteful number, since it uses less digits than its factorization.

6257442384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 6257442384 is about 79103.9972694174. The cubic root of 6257442384 is about 1842.7466053558.

The spelling of 6257442384 in words is "six billion, two hundred fifty-seven million, four hundred forty-two thousand, three hundred eighty-four".